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Finding the Fourth Proportional to 138.05, 206.62 and 115.06

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Solution

The fourth proportional to 138.05, 206.62 and 115.06 is: 172.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.05 : 206.62 = 115.06 : x
  2. Step 2: Convert to fraction form
    138.05/206.62 = 115.06/x
  3. Step 3: Cross multiply
    138.05x = 206.62 × 115.06
  4. Step 4: Simplify right side
    138.05x = 23,773.70
  5. Step 5: Solve for x
    x = 23,773.70/138.05
  6. Step 6: Final answer
    x = 172.21

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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.