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Finding the Fourth Proportional to 80.27, 120.42 and 22.49

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Solution

The fourth proportional to 80.27, 120.42 and 22.49 is: 33.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.27 : 120.42 = 22.49 : x
  2. Step 2: Convert to fraction form
    80.27/120.42 = 22.49/x
  3. Step 3: Cross multiply
    80.27x = 120.42 × 22.49
  4. Step 4: Simplify right side
    80.27x = 2,708.30
  5. Step 5: Solve for x
    x = 2,708.30/80.27
  6. Step 6: Final answer
    x = 33.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.