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Finding the Fourth Proportional to 42.71, 63.75 and 38.16

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Solution

The fourth proportional to 42.71, 63.75 and 38.16 is: 56.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.71 : 63.75 = 38.16 : x
  2. Step 2: Convert to fraction form
    42.71/63.75 = 38.16/x
  3. Step 3: Cross multiply
    42.71x = 63.75 × 38.16
  4. Step 4: Simplify right side
    42.71x = 2,432.70
  5. Step 5: Solve for x
    x = 2,432.70/42.71
  6. Step 6: Final answer
    x = 56.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.