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Finding the Fourth Proportional to 11.66, 15.96 and 11.20

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Solution

The fourth proportional to 11.66, 15.96 and 11.20 is: 15.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.66 : 15.96 = 11.20 : x
  2. Step 2: Convert to fraction form
    11.66/15.96 = 11.20/x
  3. Step 3: Cross multiply
    11.66x = 15.96 × 11.20
  4. Step 4: Simplify right side
    11.66x = 178.75
  5. Step 5: Solve for x
    x = 178.75/11.66
  6. Step 6: Final answer
    x = 15.34

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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.