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Finding the Fourth Proportional to 24.54, 33.84 and 20.65

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Solution

The fourth proportional to 24.54, 33.84 and 20.65 is: 28.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.54 : 33.84 = 20.65 : x
  2. Step 2: Convert to fraction form
    24.54/33.84 = 20.65/x
  3. Step 3: Cross multiply
    24.54x = 33.84 × 20.65
  4. Step 4: Simplify right side
    24.54x = 698.80
  5. Step 5: Solve for x
    x = 698.80/24.54
  6. Step 6: Final answer
    x = 28.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.