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Geometry Worksheet – Ratios and Proportions Name_________________________ Simplify the ratio. 1. $12 : $16 2. 32 in. 8 in. 3. 4 quarters 13 nickels 4. The perimeter of a rectangle is 56 inches. The ratio of the length to the width is 6 : 1. Find the length and the width. The measures of the angles of a triangle are in the extended ratio given. Find the measures of the angle of the triangle. 5. 1 : 7 : 10 6. 5 : 6 : 7 Solve the proportion. 4 x 7. 5 15 9. x 2 27 4 12 Find the geometric mean of the two numbers given. 11. 2 and 8 8. 10. 5 20 8 y 3 1 x x 6 12. 3 and 9 Continue to find the geometric mean of the two numbers given. 13. 7 and 14 14. 8 and 16 Let x = 6, y = 3, and z = 2. Write the ratio in simplest form. 4z 3 2x y 15. 16. x 3 Solve the proportion. y 2 2y 3 18. 2 5 19. 17. 8 4 k 2 k 2 z 2y 2x 4