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Finding the Fourth Proportional to 83.14, 124.78 and 63.82

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Solution

The fourth proportional to 83.14, 124.78 and 63.82 is: 95.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.14 : 124.78 = 63.82 : x
  2. Step 2: Convert to fraction form
    83.14/124.78 = 63.82/x
  3. Step 3: Cross multiply
    83.14x = 124.78 × 63.82
  4. Step 4: Simplify right side
    83.14x = 7,963.46
  5. Step 5: Solve for x
    x = 7,963.46/83.14
  6. Step 6: Final answer
    x = 95.78

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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.