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Finding the Fourth Proportional to 123.92, 170.96 and 82.48

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Solution

The fourth proportional to 123.92, 170.96 and 82.48 is: 113.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.92 : 170.96 = 82.48 : x
  2. Step 2: Convert to fraction form
    123.92/170.96 = 82.48/x
  3. Step 3: Cross multiply
    123.92x = 170.96 × 82.48
  4. Step 4: Simplify right side
    123.92x = 14,100.78
  5. Step 5: Solve for x
    x = 14,100.78/123.92
  6. Step 6: Final answer
    x = 113.79

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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.