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Finding the Fourth Proportional to 11.56, 17.31 and 8.57

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Solution

The fourth proportional to 11.56, 17.31 and 8.57 is: 12.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.56 : 17.31 = 8.57 : x
  2. Step 2: Convert to fraction form
    11.56/17.31 = 8.57/x
  3. Step 3: Cross multiply
    11.56x = 17.31 × 8.57
  4. Step 4: Simplify right side
    11.56x = 148.31
  5. Step 5: Solve for x
    x = 148.31/11.56
  6. Step 6: Final answer
    x = 12.83

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