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Finding the Fourth Proportional to 82.38, 112.92 and 81.30

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Solution

The fourth proportional to 82.38, 112.92 and 81.30 is: 111.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.38 : 112.92 = 81.30 : x
  2. Step 2: Convert to fraction form
    82.38/112.92 = 81.30/x
  3. Step 3: Cross multiply
    82.38x = 112.92 × 81.30
  4. Step 4: Simplify right side
    82.38x = 9,180.40
  5. Step 5: Solve for x
    x = 9,180.40/82.38
  6. Step 6: Final answer
    x = 111.44

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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.