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Finding the Fourth Proportional to 139.65, 209.61 and 81.98

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Solution

The fourth proportional to 139.65, 209.61 and 81.98 is: 123.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.65 : 209.61 = 81.98 : x
  2. Step 2: Convert to fraction form
    139.65/209.61 = 81.98/x
  3. Step 3: Cross multiply
    139.65x = 209.61 × 81.98
  4. Step 4: Simplify right side
    139.65x = 17,183.83
  5. Step 5: Solve for x
    x = 17,183.83/139.65
  6. Step 6: Final answer
    x = 123.05

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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.