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Finding the Fourth Proportional to 80.28, 120.49 and 67.52

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Solution

The fourth proportional to 80.28, 120.49 and 67.52 is: 101.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.28 : 120.49 = 67.52 : x
  2. Step 2: Convert to fraction form
    80.28/120.49 = 67.52/x
  3. Step 3: Cross multiply
    80.28x = 120.49 × 67.52
  4. Step 4: Simplify right side
    80.28x = 8,135.62
  5. Step 5: Solve for x
    x = 8,135.62/80.28
  6. Step 6: Final answer
    x = 101.34

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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.