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Finding the Fourth Proportional to 83.73, 114.71 and 80.66

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Solution

The fourth proportional to 83.73, 114.71 and 80.66 is: 110.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.73 : 114.71 = 80.66 : x
  2. Step 2: Convert to fraction form
    83.73/114.71 = 80.66/x
  3. Step 3: Cross multiply
    83.73x = 114.71 × 80.66
  4. Step 4: Simplify right side
    83.73x = 9,251.53
  5. Step 5: Solve for x
    x = 9,251.53/83.73
  6. Step 6: Final answer
    x = 110.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.