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Finding the Fourth Proportional to 80.44, 111.14 and 71.24

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Solution

The fourth proportional to 80.44, 111.14 and 71.24 is: 98.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.44 : 111.14 = 71.24 : x
  2. Step 2: Convert to fraction form
    80.44/111.14 = 71.24/x
  3. Step 3: Cross multiply
    80.44x = 111.14 × 71.24
  4. Step 4: Simplify right side
    80.44x = 7,917.61
  5. Step 5: Solve for x
    x = 7,917.61/80.44
  6. Step 6: Final answer
    x = 98.43

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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.