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Finding the Fourth Proportional to 41.29, 62 and 38.71

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Solution

The fourth proportional to 41.29, 62 and 38.71 is: 58.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.29 : 62 = 38.71 : x
  2. Step 2: Convert to fraction form
    41.29/62 = 38.71/x
  3. Step 3: Cross multiply
    41.29x = 62 × 38.71
  4. Step 4: Simplify right side
    41.29x = 2,400.02
  5. Step 5: Solve for x
    x = 2,400.02/41.29
  6. Step 6: Final answer
    x = 58.13

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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.