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Finding the Fourth Proportional to 11.64, 15.99 and 11.49

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Solution

The fourth proportional to 11.64, 15.99 and 11.49 is: 15.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.64 : 15.99 = 11.49 : x
  2. Step 2: Convert to fraction form
    11.64/15.99 = 11.49/x
  3. Step 3: Cross multiply
    11.64x = 15.99 × 11.49
  4. Step 4: Simplify right side
    11.64x = 183.73
  5. Step 5: Solve for x
    x = 183.73/11.64
  6. Step 6: Final answer
    x = 15.78

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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.