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Finding the Fourth Proportional to 84.78, 116.31 and 82.66

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Solution

The fourth proportional to 84.78, 116.31 and 82.66 is: 113.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.78 : 116.31 = 82.66 : x
  2. Step 2: Convert to fraction form
    84.78/116.31 = 82.66/x
  3. Step 3: Cross multiply
    84.78x = 116.31 × 82.66
  4. Step 4: Simplify right side
    84.78x = 9,614.18
  5. Step 5: Solve for x
    x = 9,614.18/84.78
  6. Step 6: Final answer
    x = 113.40

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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.