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Finding the Fourth Proportional to 20.48, 30.70 and 13.24

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Solution

The fourth proportional to 20.48, 30.70 and 13.24 is: 19.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.48 : 30.70 = 13.24 : x
  2. Step 2: Convert to fraction form
    20.48/30.70 = 13.24/x
  3. Step 3: Cross multiply
    20.48x = 30.70 × 13.24
  4. Step 4: Simplify right side
    20.48x = 406.47
  5. Step 5: Solve for x
    x = 406.47/20.48
  6. Step 6: Final answer
    x = 19.85

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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.