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Finding the Fourth Proportional to 123.98, 171.04 and 80.24

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Solution

The fourth proportional to 123.98, 171.04 and 80.24 is: 110.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.98 : 171.04 = 80.24 : x
  2. Step 2: Convert to fraction form
    123.98/171.04 = 80.24/x
  3. Step 3: Cross multiply
    123.98x = 171.04 × 80.24
  4. Step 4: Simplify right side
    123.98x = 13,724.25
  5. Step 5: Solve for x
    x = 13,724.25/123.98
  6. Step 6: Final answer
    x = 110.70

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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.