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Finding the Fourth Proportional to 80.32, 119.84 and 67.48

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Solution

The fourth proportional to 80.32, 119.84 and 67.48 is: 100.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.32 : 119.84 = 67.48 : x
  2. Step 2: Convert to fraction form
    80.32/119.84 = 67.48/x
  3. Step 3: Cross multiply
    80.32x = 119.84 × 67.48
  4. Step 4: Simplify right side
    80.32x = 8,086.80
  5. Step 5: Solve for x
    x = 8,086.80/80.32
  6. Step 6: Final answer
    x = 100.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.