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Finding the Fourth Proportional to 138.67, 191.35 and 83.41

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Solution

The fourth proportional to 138.67, 191.35 and 83.41 is: 115.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.67 : 191.35 = 83.41 : x
  2. Step 2: Convert to fraction form
    138.67/191.35 = 83.41/x
  3. Step 3: Cross multiply
    138.67x = 191.35 × 83.41
  4. Step 4: Simplify right side
    138.67x = 15,960.50
  5. Step 5: Solve for x
    x = 15,960.50/138.67
  6. Step 6: Final answer
    x = 115.10

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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.