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Finding the Fourth Proportional to 20.24, 30.42 and 13.84

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Solution

The fourth proportional to 20.24, 30.42 and 13.84 is: 20.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.24 : 30.42 = 13.84 : x
  2. Step 2: Convert to fraction form
    20.24/30.42 = 13.84/x
  3. Step 3: Cross multiply
    20.24x = 30.42 × 13.84
  4. Step 4: Simplify right side
    20.24x = 420.94
  5. Step 5: Solve for x
    x = 420.94/20.24
  6. Step 6: Final answer
    x = 20.80

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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.