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Finding the Fourth Proportional to 42.26, 62.97 and 39.50

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Solution

The fourth proportional to 42.26, 62.97 and 39.50 is: 58.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.26 : 62.97 = 39.50 : x
  2. Step 2: Convert to fraction form
    42.26/62.97 = 39.50/x
  3. Step 3: Cross multiply
    42.26x = 62.97 × 39.50
  4. Step 4: Simplify right side
    42.26x = 2,487.12
  5. Step 5: Solve for x
    x = 2,487.12/42.26
  6. Step 6: Final answer
    x = 58.85

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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.