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Finding the Fourth Proportional to 81.83, 112.92 and 49.07

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Solution

The fourth proportional to 81.83, 112.92 and 49.07 is: 67.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.83 : 112.92 = 49.07 : x
  2. Step 2: Convert to fraction form
    81.83/112.92 = 49.07/x
  3. Step 3: Cross multiply
    81.83x = 112.92 × 49.07
  4. Step 4: Simplify right side
    81.83x = 5,540.98
  5. Step 5: Solve for x
    x = 5,540.98/81.83
  6. Step 6: Final answer
    x = 67.71

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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.