Finding the Fourth Proportional to 71.41, 106.96 and 52.07
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Solution
The fourth proportional to 71.41, 106.96 and 52.07 is: 77.99
Step by Step Solution
- Step 1: Write the proportion equation
71.41 : 106.96 = 52.07 : x - Step 2: Convert to fraction form
71.41/106.96 = 52.07/x - Step 3: Cross multiply
71.41x = 106.96 × 52.07 - Step 4: Simplify right side
71.41x = 5,569.41 - Step 5: Solve for x
x = 5,569.41/71.41 - Step 6: Final answer
x = 77.99
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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.