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Finding the Fourth Proportional to 8.72, 11.96 and 8.11

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Solution

The fourth proportional to 8.72, 11.96 and 8.11 is: 11.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.72 : 11.96 = 8.11 : x
  2. Step 2: Convert to fraction form
    8.72/11.96 = 8.11/x
  3. Step 3: Cross multiply
    8.72x = 11.96 × 8.11
  4. Step 4: Simplify right side
    8.72x = 96.99
  5. Step 5: Solve for x
    x = 96.99/8.72
  6. Step 6: Final answer
    x = 11.13

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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.