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Finding the Fourth Proportional to 101.62, 140.43 and 82.18

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Solution

The fourth proportional to 101.62, 140.43 and 82.18 is: 113.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.62 : 140.43 = 82.18 : x
  2. Step 2: Convert to fraction form
    101.62/140.43 = 82.18/x
  3. Step 3: Cross multiply
    101.62x = 140.43 × 82.18
  4. Step 4: Simplify right side
    101.62x = 11,540.54
  5. Step 5: Solve for x
    x = 11,540.54/101.62
  6. Step 6: Final answer
    x = 113.57

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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.