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Finding the Fourth Proportional to 11.52, 15.81 and 11.27

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Solution

The fourth proportional to 11.52, 15.81 and 11.27 is: 15.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.52 : 15.81 = 11.27 : x
  2. Step 2: Convert to fraction form
    11.52/15.81 = 11.27/x
  3. Step 3: Cross multiply
    11.52x = 15.81 × 11.27
  4. Step 4: Simplify right side
    11.52x = 178.11
  5. Step 5: Solve for x
    x = 178.11/11.52
  6. Step 6: Final answer
    x = 15.46

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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.