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Finding the Fourth Proportional to 138.29, 206.01 and 131.27

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Solution

The fourth proportional to 138.29, 206.01 and 131.27 is: 195.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.29 : 206.01 = 131.27 : x
  2. Step 2: Convert to fraction form
    138.29/206.01 = 131.27/x
  3. Step 3: Cross multiply
    138.29x = 206.01 × 131.27
  4. Step 4: Simplify right side
    138.29x = 27,042.93
  5. Step 5: Solve for x
    x = 27,042.93/138.29
  6. Step 6: Final answer
    x = 195.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.