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Finding the Fourth Proportional to 42.08, 63.14 and 41.90

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Solution

The fourth proportional to 42.08, 63.14 and 41.90 is: 62.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.08 : 63.14 = 41.90 : x
  2. Step 2: Convert to fraction form
    42.08/63.14 = 41.90/x
  3. Step 3: Cross multiply
    42.08x = 63.14 × 41.90
  4. Step 4: Simplify right side
    42.08x = 2,645.57
  5. Step 5: Solve for x
    x = 2,645.57/42.08
  6. Step 6: Final answer
    x = 62.87

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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.