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Finding the Fourth Proportional to 138.49, 207.49 and 111.14

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Solution

The fourth proportional to 138.49, 207.49 and 111.14 is: 166.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.49 : 207.49 = 111.14 : x
  2. Step 2: Convert to fraction form
    138.49/207.49 = 111.14/x
  3. Step 3: Cross multiply
    138.49x = 207.49 × 111.14
  4. Step 4: Simplify right side
    138.49x = 23,060.44
  5. Step 5: Solve for x
    x = 23,060.44/138.49
  6. Step 6: Final answer
    x = 166.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.