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Finding the Fourth Proportional to 138.93, 206.89 and 138.14

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Solution

The fourth proportional to 138.93, 206.89 and 138.14 is: 205.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.93 : 206.89 = 138.14 : x
  2. Step 2: Convert to fraction form
    138.93/206.89 = 138.14/x
  3. Step 3: Cross multiply
    138.93x = 206.89 × 138.14
  4. Step 4: Simplify right side
    138.93x = 28,579.78
  5. Step 5: Solve for x
    x = 28,579.78/138.93
  6. Step 6: Final answer
    x = 205.71

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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.