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Name:_____________________ Geometry Ratio and Proportion 6.1 Solve each proportion using cross products. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. Philip has been eating 2 hamburgers every 5 days. At that rate, how many hamburgers will he eat in 30 days? 20. If two cassettes cost $14.50, how much will 15 cassettes cost? 21. If a 6-foot post casts a shadow that is 8 feet long, how tall is an antenna that casts a 60-foot shadow at the same time? 22. In a triangle, the ratio of the measures of three sides is 4:6:9, and its perimeter is 190 inches. Find the length of the longest side of the triangle. 23. A twinjet airplane has a length of 78 meters and a wingspan of 90 meters. A toy model is made in proportion to the real airplane. If the wingspan of the toy is 36 centimeters, find the length of the toy. 24. The ratio of the measures of three sides of a triangle is 9:8:7, and its perimeter is 144 units. Find the measure of each side of the triangle. 25. The ratio of the measures of three angles of a triangle 5:7:8. Find the measure of each angle of the triangle. 26. The scale on a map indicates that 1.5 centimeters represent 200 miles. If the distance on the map between Norfolk, Virginia, and Atlanta, Georgia, measures 2.4 centimeters, how many miles apart are the cities? 27. A cable that is 42 feet long is divided into lengths in the ratio of 3:4. What are the two lengths into which the cable is divided? 28. The ratio of the measures of the three angles is 2:5:3. What are the measures of the three angles? 29. The ratio of the measures of three sides of a triangle is 8:7:5. Its perimeter is 240 feet. What is the measure of each side? 30. The ratio of the measures of the sides of a triangle is 3:4:5. Its perimeter is 72 inches. What is the measure of each side? 31. There were approximately 255,082,000 people in the United States in a recent year. According to figures from the United States Census, they consumed about 4,183,344,800 pounds of ice cream that year. If there were 276,000 people in the city of Raleigh, North Carolina, about how much ice cream might they have been expected to consume? 32. The ratio of seniors to juniors in the Math Club is 2:3. If there are 21 juniors, how many seniors are in the club? 33. A 15-foot building casts a 9-foot shadow. How tall is a building that casts a 30-foot shadow at the same time? 34. A photo that is 3 inches wide and 5 inches high was enlarged so that it is 12 inches wide. How high is the enlargement?