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Finding the Fourth Proportional to 123.92, 171.08 and 112.84

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Solution

The fourth proportional to 123.92, 171.08 and 112.84 is: 155.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.92 : 171.08 = 112.84 : x
  2. Step 2: Convert to fraction form
    123.92/171.08 = 112.84/x
  3. Step 3: Cross multiply
    123.92x = 171.08 × 112.84
  4. Step 4: Simplify right side
    123.92x = 19,304.67
  5. Step 5: Solve for x
    x = 19,304.67/123.92
  6. Step 6: Final answer
    x = 155.78

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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.