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Finding the Fourth Proportional to 138.63, 191.30 and 83.39

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Solution

The fourth proportional to 138.63, 191.30 and 83.39 is: 115.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.63 : 191.30 = 83.39 : x
  2. Step 2: Convert to fraction form
    138.63/191.30 = 83.39/x
  3. Step 3: Cross multiply
    138.63x = 191.30 × 83.39
  4. Step 4: Simplify right side
    138.63x = 15,951.13
  5. Step 5: Solve for x
    x = 15,951.13/138.63
  6. Step 6: Final answer
    x = 115.06

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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.