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Finding the Fourth Proportional to 42.71, 58.95 and 29.75

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Solution

The fourth proportional to 42.71, 58.95 and 29.75 is: 41.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.71 : 58.95 = 29.75 : x
  2. Step 2: Convert to fraction form
    42.71/58.95 = 29.75/x
  3. Step 3: Cross multiply
    42.71x = 58.95 × 29.75
  4. Step 4: Simplify right side
    42.71x = 1,753.61
  5. Step 5: Solve for x
    x = 1,753.61/42.71
  6. Step 6: Final answer
    x = 41.06

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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.