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Finding the Fourth Proportional to 20.24, 30.41 and 15.78

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Solution

The fourth proportional to 20.24, 30.41 and 15.78 is: 23.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.24 : 30.41 = 15.78 : x
  2. Step 2: Convert to fraction form
    20.24/30.41 = 15.78/x
  3. Step 3: Cross multiply
    20.24x = 30.41 × 15.78
  4. Step 4: Simplify right side
    20.24x = 479.87
  5. Step 5: Solve for x
    x = 479.87/20.24
  6. Step 6: Final answer
    x = 23.71

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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.