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Finding the Fourth Proportional to 11.61, 15.91 and 11.48

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Solution

The fourth proportional to 11.61, 15.91 and 11.48 is: 15.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.61 : 15.91 = 11.48 : x
  2. Step 2: Convert to fraction form
    11.61/15.91 = 11.48/x
  3. Step 3: Cross multiply
    11.61x = 15.91 × 11.48
  4. Step 4: Simplify right side
    11.61x = 182.62
  5. Step 5: Solve for x
    x = 182.62/11.61
  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.