Finding the Fourth Proportional to 71.10, 106.47 and 36.74
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Solution
The fourth proportional to 71.10, 106.47 and 36.74 is: 55.01
Step by Step Solution
- Step 1: Write the proportion equation
71.10 : 106.47 = 36.74 : x - Step 2: Convert to fraction form
71.10/106.47 = 36.74/x - Step 3: Cross multiply
71.10x = 106.47 × 36.74 - Step 4: Simplify right side
71.10x = 3,911.18 - Step 5: Solve for x
x = 3,911.18/71.10 - Step 6: Final answer
x = 55.01
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.