Finding the Fourth Proportional to 71.45, 106.98 and 52.09
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Solution
The fourth proportional to 71.45, 106.98 and 52.09 is: 77.99
Step by Step Solution
- Step 1: Write the proportion equation
71.45 : 106.98 = 52.09 : x - Step 2: Convert to fraction form
71.45/106.98 = 52.09/x - Step 3: Cross multiply
71.45x = 106.98 × 52.09 - Step 4: Simplify right side
71.45x = 5,572.59 - Step 5: Solve for x
x = 5,572.59/71.45 - 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.