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Finding the Fourth Proportional to 24.19, 33.28 and 20.46

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Solution

The fourth proportional to 24.19, 33.28 and 20.46 is: 28.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.19 : 33.28 = 20.46 : x
  2. Step 2: Convert to fraction form
    24.19/33.28 = 20.46/x
  3. Step 3: Cross multiply
    24.19x = 33.28 × 20.46
  4. Step 4: Simplify right side
    24.19x = 680.91
  5. Step 5: Solve for x
    x = 680.91/24.19
  6. Step 6: Final answer
    x = 28.15

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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.