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Finding the Fourth Proportional to 24.32, 33.32 and 21.44

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Solution

The fourth proportional to 24.32, 33.32 and 21.44 is: 29.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.32 : 33.32 = 21.44 : x
  2. Step 2: Convert to fraction form
    24.32/33.32 = 21.44/x
  3. Step 3: Cross multiply
    24.32x = 33.32 × 21.44
  4. Step 4: Simplify right side
    24.32x = 714.38
  5. Step 5: Solve for x
    x = 714.38/24.32
  6. Step 6: Final answer
    x = 29.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.