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Finding the Fourth Proportional to 123.97, 170.85 and 92.81

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Solution

The fourth proportional to 123.97, 170.85 and 92.81 is: 127.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.97 : 170.85 = 92.81 : x
  2. Step 2: Convert to fraction form
    123.97/170.85 = 92.81/x
  3. Step 3: Cross multiply
    123.97x = 170.85 × 92.81
  4. Step 4: Simplify right side
    123.97x = 15,856.59
  5. Step 5: Solve for x
    x = 15,856.59/123.97
  6. Step 6: Final answer
    x = 127.91

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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.