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Finding the Fourth Proportional to 123.92, 171.04 and 82.50

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Solution

The fourth proportional to 123.92, 171.04 and 82.50 is: 113.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.92 : 171.04 = 82.50 : x
  2. Step 2: Convert to fraction form
    123.92/171.04 = 82.50/x
  3. Step 3: Cross multiply
    123.92x = 171.04 × 82.50
  4. Step 4: Simplify right side
    123.92x = 14,110.80
  5. Step 5: Solve for x
    x = 14,110.80/123.92
  6. Step 6: Final answer
    x = 113.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.