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Finding the Fourth Proportional to 16.78, 23.13 and 12.43

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Solution

The fourth proportional to 16.78, 23.13 and 12.43 is: 17.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.78 : 23.13 = 12.43 : x
  2. Step 2: Convert to fraction form
    16.78/23.13 = 12.43/x
  3. Step 3: Cross multiply
    16.78x = 23.13 × 12.43
  4. Step 4: Simplify right side
    16.78x = 287.51
  5. Step 5: Solve for x
    x = 287.51/16.78
  6. Step 6: Final answer
    x = 17.13

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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.