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Finding the Fourth Proportional to 17.61, 24.31 and 11.48

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Solution

The fourth proportional to 17.61, 24.31 and 11.48 is: 15.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.61 : 24.31 = 11.48 : x
  2. Step 2: Convert to fraction form
    17.61/24.31 = 11.48/x
  3. Step 3: Cross multiply
    17.61x = 24.31 × 11.48
  4. Step 4: Simplify right side
    17.61x = 278.90
  5. Step 5: Solve for x
    x = 278.90/17.61
  6. Step 6: Final answer
    x = 15.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.