Finding the Fourth Proportional to 113.68, 170.70 and 77.68
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Solution
The fourth proportional to 113.68, 170.70 and 77.68 is: 116.64
Step by Step Solution
- Step 1: Write the proportion equation
113.68 : 170.70 = 77.68 : x - Step 2: Convert to fraction form
113.68/170.70 = 77.68/x - Step 3: Cross multiply
113.68x = 170.70 × 77.68 - Step 4: Simplify right side
113.68x = 13,259.98 - Step 5: Solve for x
x = 13,259.98/113.68 - Step 6: Final answer
x = 116.64
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.