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Finding the Fourth Proportional to 138.66, 208.18 and 77.84

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Solution

The fourth proportional to 138.66, 208.18 and 77.84 is: 116.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.66 : 208.18 = 77.84 : x
  2. Step 2: Convert to fraction form
    138.66/208.18 = 77.84/x
  3. Step 3: Cross multiply
    138.66x = 208.18 × 77.84
  4. Step 4: Simplify right side
    138.66x = 16,203.69
  5. Step 5: Solve for x
    x = 16,203.69/138.66
  6. Step 6: Final answer
    x = 116.86

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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.