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Finding the Fourth Proportional to 24.38, 33.68 and 21.64

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Solution

The fourth proportional to 24.38, 33.68 and 21.64 is: 29.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.38 : 33.68 = 21.64 : x
  2. Step 2: Convert to fraction form
    24.38/33.68 = 21.64/x
  3. Step 3: Cross multiply
    24.38x = 33.68 × 21.64
  4. Step 4: Simplify right side
    24.38x = 728.84
  5. Step 5: Solve for x
    x = 728.84/24.38
  6. Step 6: Final answer
    x = 29.89

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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.