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Finding the Fourth Proportional to 138.29, 190.86 and 82.31

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Solution

The fourth proportional to 138.29, 190.86 and 82.31 is: 113.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.29 : 190.86 = 82.31 : x
  2. Step 2: Convert to fraction form
    138.29/190.86 = 82.31/x
  3. Step 3: Cross multiply
    138.29x = 190.86 × 82.31
  4. Step 4: Simplify right side
    138.29x = 15,708.73
  5. Step 5: Solve for x
    x = 15,708.73/138.29
  6. Step 6: Final answer
    x = 113.59

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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.