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Finding the Fourth Proportional to 139.36, 209.04 and 36.65

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Solution

The fourth proportional to 139.36, 209.04 and 36.65 is: 54.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.36 : 209.04 = 36.65 : x
  2. Step 2: Convert to fraction form
    139.36/209.04 = 36.65/x
  3. Step 3: Cross multiply
    139.36x = 209.04 × 36.65
  4. Step 4: Simplify right side
    139.36x = 7,661.91
  5. Step 5: Solve for x
    x = 7,661.91/139.36
  6. Step 6: Final answer
    x = 54.98

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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.