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Finding the Fourth Proportional to 23.78, 32.82 and 13.42

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Solution

The fourth proportional to 23.78, 32.82 and 13.42 is: 18.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.78 : 32.82 = 13.42 : x
  2. Step 2: Convert to fraction form
    23.78/32.82 = 13.42/x
  3. Step 3: Cross multiply
    23.78x = 32.82 × 13.42
  4. Step 4: Simplify right side
    23.78x = 440.41
  5. Step 5: Solve for x
    x = 440.41/23.78
  6. Step 6: Final answer
    x = 18.52

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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.