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Finding the Fourth Proportional to 41.62, 62.17 and 38.38

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Solution

The fourth proportional to 41.62, 62.17 and 38.38 is: 57.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.62 : 62.17 = 38.38 : x
  2. Step 2: Convert to fraction form
    41.62/62.17 = 38.38/x
  3. Step 3: Cross multiply
    41.62x = 62.17 × 38.38
  4. Step 4: Simplify right side
    41.62x = 2,386.08
  5. Step 5: Solve for x
    x = 2,386.08/41.62
  6. Step 6: Final answer
    x = 57.33

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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.