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Finding the Fourth Proportional to 139.78, 209.67 and 85.66

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Solution

The fourth proportional to 139.78, 209.67 and 85.66 is: 128.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.78 : 209.67 = 85.66 : x
  2. Step 2: Convert to fraction form
    139.78/209.67 = 85.66/x
  3. Step 3: Cross multiply
    139.78x = 209.67 × 85.66
  4. Step 4: Simplify right side
    139.78x = 17,960.33
  5. Step 5: Solve for x
    x = 17,960.33/139.78
  6. Step 6: Final answer
    x = 128.49

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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.