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Finding the Fourth Proportional to 81.33, 112.68 and 80.34

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Solution

The fourth proportional to 81.33, 112.68 and 80.34 is: 111.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.33 : 112.68 = 80.34 : x
  2. Step 2: Convert to fraction form
    81.33/112.68 = 80.34/x
  3. Step 3: Cross multiply
    81.33x = 112.68 × 80.34
  4. Step 4: Simplify right side
    81.33x = 9,052.71
  5. Step 5: Solve for x
    x = 9,052.71/81.33
  6. Step 6: Final answer
    x = 111.31

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.