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Finding the Fourth Proportional to 63.38, 95.13 and 37.73

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Solution

The fourth proportional to 63.38, 95.13 and 37.73 is: 56.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.38 : 95.13 = 37.73 : x
  2. Step 2: Convert to fraction form
    63.38/95.13 = 37.73/x
  3. Step 3: Cross multiply
    63.38x = 95.13 × 37.73
  4. Step 4: Simplify right side
    63.38x = 3,589.25
  5. Step 5: Solve for x
    x = 3,589.25/63.38
  6. Step 6: Final answer
    x = 56.63

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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.