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Finding the Fourth Proportional to 42.62, 63.76 and 42

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Solution

The fourth proportional to 42.62, 63.76 and 42 is: 62.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.62 : 63.76 = 42 : x
  2. Step 2: Convert to fraction form
    42.62/63.76 = 42/x
  3. Step 3: Cross multiply
    42.62x = 63.76 × 42
  4. Step 4: Simplify right side
    42.62x = 2,677.92
  5. Step 5: Solve for x
    x = 2,677.92/42.62
  6. Step 6: Final answer
    x = 62.83

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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.