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Finding the Fourth Proportional to 84.07, 115.86 and 82.27

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Solution

The fourth proportional to 84.07, 115.86 and 82.27 is: 113.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.07 : 115.86 = 82.27 : x
  2. Step 2: Convert to fraction form
    84.07/115.86 = 82.27/x
  3. Step 3: Cross multiply
    84.07x = 115.86 × 82.27
  4. Step 4: Simplify right side
    84.07x = 9,531.80
  5. Step 5: Solve for x
    x = 9,531.80/84.07
  6. Step 6: Final answer
    x = 113.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.