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Finding the Fourth Proportional to 138.57, 207.63 and 108.06

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Solution

The fourth proportional to 138.57, 207.63 and 108.06 is: 161.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.57 : 207.63 = 108.06 : x
  2. Step 2: Convert to fraction form
    138.57/207.63 = 108.06/x
  3. Step 3: Cross multiply
    138.57x = 207.63 × 108.06
  4. Step 4: Simplify right side
    138.57x = 22,436.50
  5. Step 5: Solve for x
    x = 22,436.50/138.57
  6. Step 6: Final answer
    x = 161.91

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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.