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Finding the Fourth Proportional to 39.97, 55.12 and 29.61

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Solution

The fourth proportional to 39.97, 55.12 and 29.61 is: 40.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.97 : 55.12 = 29.61 : x
  2. Step 2: Convert to fraction form
    39.97/55.12 = 29.61/x
  3. Step 3: Cross multiply
    39.97x = 55.12 × 29.61
  4. Step 4: Simplify right side
    39.97x = 1,632.10
  5. Step 5: Solve for x
    x = 1,632.10/39.97
  6. Step 6: Final answer
    x = 40.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.