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Finding the Fourth Proportional to 138.39, 191.01 and 83.12

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Solution

The fourth proportional to 138.39, 191.01 and 83.12 is: 114.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.39 : 191.01 = 83.12 : x
  2. Step 2: Convert to fraction form
    138.39/191.01 = 83.12/x
  3. Step 3: Cross multiply
    138.39x = 191.01 × 83.12
  4. Step 4: Simplify right side
    138.39x = 15,876.11
  5. Step 5: Solve for x
    x = 15,876.11/138.39
  6. Step 6: Final answer
    x = 114.72

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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.