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Finding the Fourth Proportional to 11.52, 17.31 and 6.18

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Solution

The fourth proportional to 11.52, 17.31 and 6.18 is: 9.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.52 : 17.31 = 6.18 : x
  2. Step 2: Convert to fraction form
    11.52/17.31 = 6.18/x
  3. Step 3: Cross multiply
    11.52x = 17.31 × 6.18
  4. Step 4: Simplify right side
    11.52x = 106.98
  5. Step 5: Solve for x
    x = 106.98/11.52
  6. Step 6: Final answer
    x = 9.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.