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Finding the Fourth Proportional to 81.15, 111.81 and 60.42

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Solution

The fourth proportional to 81.15, 111.81 and 60.42 is: 83.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.15 : 111.81 = 60.42 : x
  2. Step 2: Convert to fraction form
    81.15/111.81 = 60.42/x
  3. Step 3: Cross multiply
    81.15x = 111.81 × 60.42
  4. Step 4: Simplify right side
    81.15x = 6,755.56
  5. Step 5: Solve for x
    x = 6,755.56/81.15
  6. Step 6: Final answer
    x = 83.25

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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.