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Finding the Fourth Proportional to 23.44, 34.96 and 21.42

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Solution

The fourth proportional to 23.44, 34.96 and 21.42 is: 31.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.44 : 34.96 = 21.42 : x
  2. Step 2: Convert to fraction form
    23.44/34.96 = 21.42/x
  3. Step 3: Cross multiply
    23.44x = 34.96 × 21.42
  4. Step 4: Simplify right side
    23.44x = 748.84
  5. Step 5: Solve for x
    x = 748.84/23.44
  6. Step 6: Final answer
    x = 31.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.