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Finding the Fourth Proportional to 139.27, 208.85 and 69.81

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Solution

The fourth proportional to 139.27, 208.85 and 69.81 is: 104.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.27 : 208.85 = 69.81 : x
  2. Step 2: Convert to fraction form
    139.27/208.85 = 69.81/x
  3. Step 3: Cross multiply
    139.27x = 208.85 × 69.81
  4. Step 4: Simplify right side
    139.27x = 14,579.86
  5. Step 5: Solve for x
    x = 14,579.86/139.27
  6. Step 6: Final answer
    x = 104.69

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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.