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Finding the Fourth Proportional to 63.52, 95.21 and 37.86

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Solution

The fourth proportional to 63.52, 95.21 and 37.86 is: 56.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.52 : 95.21 = 37.86 : x
  2. Step 2: Convert to fraction form
    63.52/95.21 = 37.86/x
  3. Step 3: Cross multiply
    63.52x = 95.21 × 37.86
  4. Step 4: Simplify right side
    63.52x = 3,604.65
  5. Step 5: Solve for x
    x = 3,604.65/63.52
  6. Step 6: Final answer
    x = 56.75

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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.