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Finding the Fourth Proportional to 138.76, 208.06 and 106.56

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Solution

The fourth proportional to 138.76, 208.06 and 106.56 is: 159.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.76 : 208.06 = 106.56 : x
  2. Step 2: Convert to fraction form
    138.76/208.06 = 106.56/x
  3. Step 3: Cross multiply
    138.76x = 208.06 × 106.56
  4. Step 4: Simplify right side
    138.76x = 22,170.87
  5. Step 5: Solve for x
    x = 22,170.87/138.76
  6. Step 6: Final answer
    x = 159.78

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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.