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Finding the Fourth Proportional to 82.29, 112.92 and 81.48

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Solution

The fourth proportional to 82.29, 112.92 and 81.48 is: 111.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.29 : 112.92 = 81.48 : x
  2. Step 2: Convert to fraction form
    82.29/112.92 = 81.48/x
  3. Step 3: Cross multiply
    82.29x = 112.92 × 81.48
  4. Step 4: Simplify right side
    82.29x = 9,200.31
  5. Step 5: Solve for x
    x = 9,200.31/82.29
  6. Step 6: Final answer
    x = 111.80

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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.