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Finding the Fourth Proportional to 76.52, 115.30 and 63.97

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Solution

The fourth proportional to 76.52, 115.30 and 63.97 is: 96.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.52 : 115.30 = 63.97 : x
  2. Step 2: Convert to fraction form
    76.52/115.30 = 63.97/x
  3. Step 3: Cross multiply
    76.52x = 115.30 × 63.97
  4. Step 4: Simplify right side
    76.52x = 7,375.53
  5. Step 5: Solve for x
    x = 7,375.53/76.52
  6. Step 6: Final answer
    x = 96.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.