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Finding the Fourth Proportional to 12.27, 18.26 and 11.64

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Solution

The fourth proportional to 12.27, 18.26 and 11.64 is: 17.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.27 : 18.26 = 11.64 : x
  2. Step 2: Convert to fraction form
    12.27/18.26 = 11.64/x
  3. Step 3: Cross multiply
    12.27x = 18.26 × 11.64
  4. Step 4: Simplify right side
    12.27x = 212.49
  5. Step 5: Solve for x
    x = 212.49/12.27
  6. Step 6: Final answer
    x = 17.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.