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Finding the Fourth Proportional to 24.10, 33.22 and 20.23

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Solution

The fourth proportional to 24.10, 33.22 and 20.23 is: 27.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.10 : 33.22 = 20.23 : x
  2. Step 2: Convert to fraction form
    24.10/33.22 = 20.23/x
  3. Step 3: Cross multiply
    24.10x = 33.22 × 20.23
  4. Step 4: Simplify right side
    24.10x = 672.08
  5. Step 5: Solve for x
    x = 672.08/24.10
  6. Step 6: Final answer
    x = 27.88

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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.