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Finding the Fourth Proportional to 138.32, 207.06 and 77.27

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Solution

The fourth proportional to 138.32, 207.06 and 77.27 is: 115.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.32 : 207.06 = 77.27 : x
  2. Step 2: Convert to fraction form
    138.32/207.06 = 77.27/x
  3. Step 3: Cross multiply
    138.32x = 207.06 × 77.27
  4. Step 4: Simplify right side
    138.32x = 15,999.53
  5. Step 5: Solve for x
    x = 15,999.53/138.32
  6. Step 6: Final answer
    x = 115.67

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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.