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Finding the Fourth Proportional to 11.97, 16.40 and 11.49

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Solution

The fourth proportional to 11.97, 16.40 and 11.49 is: 15.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.97 : 16.40 = 11.49 : x
  2. Step 2: Convert to fraction form
    11.97/16.40 = 11.49/x
  3. Step 3: Cross multiply
    11.97x = 16.40 × 11.49
  4. Step 4: Simplify right side
    11.97x = 188.44
  5. Step 5: Solve for x
    x = 188.44/11.97
  6. Step 6: Final answer
    x = 15.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.