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Finding the Fourth Proportional to 13.65, 20.46 and 7.56

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Solution

The fourth proportional to 13.65, 20.46 and 7.56 is: 11.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.65 : 20.46 = 7.56 : x
  2. Step 2: Convert to fraction form
    13.65/20.46 = 7.56/x
  3. Step 3: Cross multiply
    13.65x = 20.46 × 7.56
  4. Step 4: Simplify right side
    13.65x = 154.68
  5. Step 5: Solve for x
    x = 154.68/13.65
  6. Step 6: Final answer
    x = 11.33

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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.