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Finding the Fourth Proportional to 13.80, 20.69 and 3.65

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Solution

The fourth proportional to 13.80, 20.69 and 3.65 is: 5.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.80 : 20.69 = 3.65 : x
  2. Step 2: Convert to fraction form
    13.80/20.69 = 3.65/x
  3. Step 3: Cross multiply
    13.80x = 20.69 × 3.65
  4. Step 4: Simplify right side
    13.80x = 75.58
  5. Step 5: Solve for x
    x = 75.58/13.80
  6. Step 6: Final answer
    x = 5.48

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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.