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Finding the Fourth Proportional to 138.82, 191.56 and 83.62

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Solution

The fourth proportional to 138.82, 191.56 and 83.62 is: 115.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.82 : 191.56 = 83.62 : x
  2. Step 2: Convert to fraction form
    138.82/191.56 = 83.62/x
  3. Step 3: Cross multiply
    138.82x = 191.56 × 83.62
  4. Step 4: Simplify right side
    138.82x = 16,018.25
  5. Step 5: Solve for x
    x = 16,018.25/138.82
  6. Step 6: Final answer
    x = 115.39

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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.