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Finding the Fourth Proportional to 139.44, 209.14 and 43.24

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Solution

The fourth proportional to 139.44, 209.14 and 43.24 is: 64.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.44 : 209.14 = 43.24 : x
  2. Step 2: Convert to fraction form
    139.44/209.14 = 43.24/x
  3. Step 3: Cross multiply
    139.44x = 209.14 × 43.24
  4. Step 4: Simplify right side
    139.44x = 9,043.21
  5. Step 5: Solve for x
    x = 9,043.21/139.44
  6. Step 6: Final answer
    x = 64.85

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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.