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Finding the Fourth Proportional to 16.54, 24.72 and 12.88

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Solution

The fourth proportional to 16.54, 24.72 and 12.88 is: 19.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.54 : 24.72 = 12.88 : x
  2. Step 2: Convert to fraction form
    16.54/24.72 = 12.88/x
  3. Step 3: Cross multiply
    16.54x = 24.72 × 12.88
  4. Step 4: Simplify right side
    16.54x = 318.38
  5. Step 5: Solve for x
    x = 318.38/16.54
  6. Step 6: Final answer
    x = 19.25

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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.