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Finding the Fourth Proportional to 37.71, 52.08 and 29.61

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Solution

The fourth proportional to 37.71, 52.08 and 29.61 is: 40.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.71 : 52.08 = 29.61 : x
  2. Step 2: Convert to fraction form
    37.71/52.08 = 29.61/x
  3. Step 3: Cross multiply
    37.71x = 52.08 × 29.61
  4. Step 4: Simplify right side
    37.71x = 1,542.09
  5. Step 5: Solve for x
    x = 1,542.09/37.71
  6. Step 6: Final answer
    x = 40.89

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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.