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Finding the Fourth Proportional to 138.34, 206.96 and 115.55

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Solution

The fourth proportional to 138.34, 206.96 and 115.55 is: 172.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.34 : 206.96 = 115.55 : x
  2. Step 2: Convert to fraction form
    138.34/206.96 = 115.55/x
  3. Step 3: Cross multiply
    138.34x = 206.96 × 115.55
  4. Step 4: Simplify right side
    138.34x = 23,914.23
  5. Step 5: Solve for x
    x = 23,914.23/138.34
  6. Step 6: Final answer
    x = 172.87

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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.