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Finding the Fourth Proportional to 124.52, 171.84 and 80.84

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Solution

The fourth proportional to 124.52, 171.84 and 80.84 is: 111.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.52 : 171.84 = 80.84 : x
  2. Step 2: Convert to fraction form
    124.52/171.84 = 80.84/x
  3. Step 3: Cross multiply
    124.52x = 171.84 × 80.84
  4. Step 4: Simplify right side
    124.52x = 13,891.55
  5. Step 5: Solve for x
    x = 13,891.55/124.52
  6. Step 6: Final answer
    x = 111.56

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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.