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Finding the Fourth Proportional to 138.85, 208.38 and 77.16

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Solution

The fourth proportional to 138.85, 208.38 and 77.16 is: 115.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.85 : 208.38 = 77.16 : x
  2. Step 2: Convert to fraction form
    138.85/208.38 = 77.16/x
  3. Step 3: Cross multiply
    138.85x = 208.38 × 77.16
  4. Step 4: Simplify right side
    138.85x = 16,078.60
  5. Step 5: Solve for x
    x = 16,078.60/138.85
  6. Step 6: Final answer
    x = 115.80

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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.