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Finding the Fourth Proportional to 81.27, 112.19 and 48.56

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Solution

The fourth proportional to 81.27, 112.19 and 48.56 is: 67.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.27 : 112.19 = 48.56 : x
  2. Step 2: Convert to fraction form
    81.27/112.19 = 48.56/x
  3. Step 3: Cross multiply
    81.27x = 112.19 × 48.56
  4. Step 4: Simplify right side
    81.27x = 5,447.14
  5. Step 5: Solve for x
    x = 5,447.14/81.27
  6. Step 6: Final answer
    x = 67.03

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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.