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Finding the Fourth Proportional to 138.26, 207.54 and 102.38

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Solution

The fourth proportional to 138.26, 207.54 and 102.38 is: 153.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.26 : 207.54 = 102.38 : x
  2. Step 2: Convert to fraction form
    138.26/207.54 = 102.38/x
  3. Step 3: Cross multiply
    138.26x = 207.54 × 102.38
  4. Step 4: Simplify right side
    138.26x = 21,247.95
  5. Step 5: Solve for x
    x = 21,247.95/138.26
  6. Step 6: Final answer
    x = 153.68

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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.