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Finding the Fourth Proportional to 83.82, 114.82 and 80.74

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Solution

The fourth proportional to 83.82, 114.82 and 80.74 is: 110.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.82 : 114.82 = 80.74 : x
  2. Step 2: Convert to fraction form
    83.82/114.82 = 80.74/x
  3. Step 3: Cross multiply
    83.82x = 114.82 × 80.74
  4. Step 4: Simplify right side
    83.82x = 9,270.57
  5. Step 5: Solve for x
    x = 9,270.57/83.82
  6. Step 6: Final answer
    x = 110.60

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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.