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Finding the Fourth Proportional to 71.97, 107.92 and 37.29

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Solution

The fourth proportional to 71.97, 107.92 and 37.29 is: 55.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.97 : 107.92 = 37.29 : x
  2. Step 2: Convert to fraction form
    71.97/107.92 = 37.29/x
  3. Step 3: Cross multiply
    71.97x = 107.92 × 37.29
  4. Step 4: Simplify right side
    71.97x = 4,024.34
  5. Step 5: Solve for x
    x = 4,024.34/71.97
  6. Step 6: Final answer
    x = 55.92

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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.