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Finding the Fourth Proportional to 83, 123.84 and 74.92

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Solution

The fourth proportional to 83, 123.84 and 74.92 is: 111.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83 : 123.84 = 74.92 : x
  2. Step 2: Convert to fraction form
    83/123.84 = 74.92/x
  3. Step 3: Cross multiply
    83x = 123.84 × 74.92
  4. Step 4: Simplify right side
    83x = 9,278.09
  5. Step 5: Solve for x
    x = 9,278.09/83
  6. Step 6: Final answer
    x = 111.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.