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Finding the Fourth Proportional to 82.58, 123.92 and 39.24

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Solution

The fourth proportional to 82.58, 123.92 and 39.24 is: 58.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.58 : 123.92 = 39.24 : x
  2. Step 2: Convert to fraction form
    82.58/123.92 = 39.24/x
  3. Step 3: Cross multiply
    82.58x = 123.92 × 39.24
  4. Step 4: Simplify right side
    82.58x = 4,862.42
  5. Step 5: Solve for x
    x = 4,862.42/82.58
  6. Step 6: Final answer
    x = 58.88

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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.