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Finding the Fourth Proportional to 82.52, 123.81 and 41.93

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Solution

The fourth proportional to 82.52, 123.81 and 41.93 is: 62.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.52 : 123.81 = 41.93 : x
  2. Step 2: Convert to fraction form
    82.52/123.81 = 41.93/x
  3. Step 3: Cross multiply
    82.52x = 123.81 × 41.93
  4. Step 4: Simplify right side
    82.52x = 5,190.73
  5. Step 5: Solve for x
    x = 5,190.73/82.52
  6. Step 6: Final answer
    x = 62.91

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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.