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Finding the Fourth Proportional to 138.12, 206.73 and 77.10

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Solution

The fourth proportional to 138.12, 206.73 and 77.10 is: 115.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.12 : 206.73 = 77.10 : x
  2. Step 2: Convert to fraction form
    138.12/206.73 = 77.10/x
  3. Step 3: Cross multiply
    138.12x = 206.73 × 77.10
  4. Step 4: Simplify right side
    138.12x = 15,938.88
  5. Step 5: Solve for x
    x = 15,938.88/138.12
  6. Step 6: Final answer
    x = 115.40

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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.