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Finding the Fourth Proportional to 13.82, 20.70 and 13.23

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Solution

The fourth proportional to 13.82, 20.70 and 13.23 is: 19.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.82 : 20.70 = 13.23 : x
  2. Step 2: Convert to fraction form
    13.82/20.70 = 13.23/x
  3. Step 3: Cross multiply
    13.82x = 20.70 × 13.23
  4. Step 4: Simplify right side
    13.82x = 273.86
  5. Step 5: Solve for x
    x = 273.86/13.82
  6. Step 6: Final answer
    x = 19.82

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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.