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Finding the Fourth Proportional to 123.92, 170.78 and 80.18

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Solution

The fourth proportional to 123.92, 170.78 and 80.18 is: 110.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.92 : 170.78 = 80.18 : x
  2. Step 2: Convert to fraction form
    123.92/170.78 = 80.18/x
  3. Step 3: Cross multiply
    123.92x = 170.78 × 80.18
  4. Step 4: Simplify right side
    123.92x = 13,693.14
  5. Step 5: Solve for x
    x = 13,693.14/123.92
  6. Step 6: Final answer
    x = 110.50

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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.