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Finding the Fourth Proportional to 100.72, 151.17 and 39.97

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Solution

The fourth proportional to 100.72, 151.17 and 39.97 is: 59.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.72 : 151.17 = 39.97 : x
  2. Step 2: Convert to fraction form
    100.72/151.17 = 39.97/x
  3. Step 3: Cross multiply
    100.72x = 151.17 × 39.97
  4. Step 4: Simplify right side
    100.72x = 6,042.26
  5. Step 5: Solve for x
    x = 6,042.26/100.72
  6. Step 6: Final answer
    x = 59.99

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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.