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Finding the Fourth Proportional to 138.02, 207.12 and 77.12

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Solution

The fourth proportional to 138.02, 207.12 and 77.12 is: 115.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.02 : 207.12 = 77.12 : x
  2. Step 2: Convert to fraction form
    138.02/207.12 = 77.12/x
  3. Step 3: Cross multiply
    138.02x = 207.12 × 77.12
  4. Step 4: Simplify right side
    138.02x = 15,973.09
  5. Step 5: Solve for x
    x = 15,973.09/138.02
  6. Step 6: Final answer
    x = 115.73

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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.