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Finding the Fourth Proportional to 16.44, 24.81 and 15.96

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Solution

The fourth proportional to 16.44, 24.81 and 15.96 is: 24.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.44 : 24.81 = 15.96 : x
  2. Step 2: Convert to fraction form
    16.44/24.81 = 15.96/x
  3. Step 3: Cross multiply
    16.44x = 24.81 × 15.96
  4. Step 4: Simplify right side
    16.44x = 395.97
  5. Step 5: Solve for x
    x = 395.97/16.44
  6. Step 6: Final answer
    x = 24.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.