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Finding the Fourth Proportional to 24.12, 33.24 and 21.84

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Solution

The fourth proportional to 24.12, 33.24 and 21.84 is: 30.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.12 : 33.24 = 21.84 : x
  2. Step 2: Convert to fraction form
    24.12/33.24 = 21.84/x
  3. Step 3: Cross multiply
    24.12x = 33.24 × 21.84
  4. Step 4: Simplify right side
    24.12x = 725.96
  5. Step 5: Solve for x
    x = 725.96/24.12
  6. Step 6: Final answer
    x = 30.10

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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.