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Finding the Fourth Proportional to 16.54, 24.78 and 13.84

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Solution

The fourth proportional to 16.54, 24.78 and 13.84 is: 20.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.54 : 24.78 = 13.84 : x
  2. Step 2: Convert to fraction form
    16.54/24.78 = 13.84/x
  3. Step 3: Cross multiply
    16.54x = 24.78 × 13.84
  4. Step 4: Simplify right side
    16.54x = 342.96
  5. Step 5: Solve for x
    x = 342.96/16.54
  6. Step 6: Final answer
    x = 20.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.