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Finding the Fourth Proportional to 83.43, 115.68 and 80.04

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Solution

The fourth proportional to 83.43, 115.68 and 80.04 is: 110.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.43 : 115.68 = 80.04 : x
  2. Step 2: Convert to fraction form
    83.43/115.68 = 80.04/x
  3. Step 3: Cross multiply
    83.43x = 115.68 × 80.04
  4. Step 4: Simplify right side
    83.43x = 9,258.66
  5. Step 5: Solve for x
    x = 9,258.66/83.43
  6. Step 6: Final answer
    x = 110.98

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.