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Finding the Fourth Proportional to 17.57, 24.23 and 12.11

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Solution

The fourth proportional to 17.57, 24.23 and 12.11 is: 16.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.57 : 24.23 = 12.11 : x
  2. Step 2: Convert to fraction form
    17.57/24.23 = 12.11/x
  3. Step 3: Cross multiply
    17.57x = 24.23 × 12.11
  4. Step 4: Simplify right side
    17.57x = 293.24
  5. Step 5: Solve for x
    x = 293.24/17.57
  6. Step 6: Final answer
    x = 16.69

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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.