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Finding the Fourth Proportional to 17.97, 24.80 and 11.84

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Solution

The fourth proportional to 17.97, 24.80 and 11.84 is: 16.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.97 : 24.80 = 11.84 : x
  2. Step 2: Convert to fraction form
    17.97/24.80 = 11.84/x
  3. Step 3: Cross multiply
    17.97x = 24.80 × 11.84
  4. Step 4: Simplify right side
    17.97x = 293.45
  5. Step 5: Solve for x
    x = 293.45/17.97
  6. Step 6: Final answer
    x = 16.33

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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.