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Finding the Fourth Proportional to 81.33, 111.96 and 71.47

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Solution

The fourth proportional to 81.33, 111.96 and 71.47 is: 98.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.33 : 111.96 = 71.47 : x
  2. Step 2: Convert to fraction form
    81.33/111.96 = 71.47/x
  3. Step 3: Cross multiply
    81.33x = 111.96 × 71.47
  4. Step 4: Simplify right side
    81.33x = 8,001.78
  5. Step 5: Solve for x
    x = 8,001.78/81.33
  6. Step 6: Final answer
    x = 98.39

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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.