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Finding the Fourth Proportional to 16.78, 23.14 and 13.16

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Solution

The fourth proportional to 16.78, 23.14 and 13.16 is: 18.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.78 : 23.14 = 13.16 : x
  2. Step 2: Convert to fraction form
    16.78/23.14 = 13.16/x
  3. Step 3: Cross multiply
    16.78x = 23.14 × 13.16
  4. Step 4: Simplify right side
    16.78x = 304.52
  5. Step 5: Solve for x
    x = 304.52/16.78
  6. Step 6: Final answer
    x = 18.15

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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.