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Finding the Fourth Proportional to 138.26, 208.13 and 97.96

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Solution

The fourth proportional to 138.26, 208.13 and 97.96 is: 147.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.26 : 208.13 = 97.96 : x
  2. Step 2: Convert to fraction form
    138.26/208.13 = 97.96/x
  3. Step 3: Cross multiply
    138.26x = 208.13 × 97.96
  4. Step 4: Simplify right side
    138.26x = 20,388.41
  5. Step 5: Solve for x
    x = 20,388.41/138.26
  6. Step 6: Final answer
    x = 147.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.