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Finding the Fourth Proportional to 16.78, 23.13 and 12.41

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Solution

The fourth proportional to 16.78, 23.13 and 12.41 is: 17.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.78 : 23.13 = 12.41 : x
  2. Step 2: Convert to fraction form
    16.78/23.13 = 12.41/x
  3. Step 3: Cross multiply
    16.78x = 23.13 × 12.41
  4. Step 4: Simplify right side
    16.78x = 287.04
  5. Step 5: Solve for x
    x = 287.04/16.78
  6. Step 6: Final answer
    x = 17.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.