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Finding the Fourth Proportional to 139.85, 209.78 and 43.66

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Solution

The fourth proportional to 139.85, 209.78 and 43.66 is: 65.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.85 : 209.78 = 43.66 : x
  2. Step 2: Convert to fraction form
    139.85/209.78 = 43.66/x
  3. Step 3: Cross multiply
    139.85x = 209.78 × 43.66
  4. Step 4: Simplify right side
    139.85x = 9,159.20
  5. Step 5: Solve for x
    x = 9,159.20/139.85
  6. Step 6: Final answer
    x = 65.49

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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.