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Finding the Fourth Proportional to 9.56, 13.14 and 8.54

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Solution

The fourth proportional to 9.56, 13.14 and 8.54 is: 11.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.56 : 13.14 = 8.54 : x
  2. Step 2: Convert to fraction form
    9.56/13.14 = 8.54/x
  3. Step 3: Cross multiply
    9.56x = 13.14 × 8.54
  4. Step 4: Simplify right side
    9.56x = 112.22
  5. Step 5: Solve for x
    x = 112.22/9.56
  6. Step 6: Final answer
    x = 11.74

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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.