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Finding the Fourth Proportional to 138.52, 191.13 and 83.26

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Solution

The fourth proportional to 138.52, 191.13 and 83.26 is: 114.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.52 : 191.13 = 83.26 : x
  2. Step 2: Convert to fraction form
    138.52/191.13 = 83.26/x
  3. Step 3: Cross multiply
    138.52x = 191.13 × 83.26
  4. Step 4: Simplify right side
    138.52x = 15,913.48
  5. Step 5: Solve for x
    x = 15,913.48/138.52
  6. Step 6: Final answer
    x = 114.88

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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.