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Finding the Fourth Proportional to 138.81, 191.49 and 94.55

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Solution

The fourth proportional to 138.81, 191.49 and 94.55 is: 130.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.81 : 191.49 = 94.55 : x
  2. Step 2: Convert to fraction form
    138.81/191.49 = 94.55/x
  3. Step 3: Cross multiply
    138.81x = 191.49 × 94.55
  4. Step 4: Simplify right side
    138.81x = 18,105.38
  5. Step 5: Solve for x
    x = 18,105.38/138.81
  6. Step 6: Final answer
    x = 130.43

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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.