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Finding the Fourth Proportional to 8.67, 11.96 and 5.43

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Solution

The fourth proportional to 8.67, 11.96 and 5.43 is: 7.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.67 : 11.96 = 5.43 : x
  2. Step 2: Convert to fraction form
    8.67/11.96 = 5.43/x
  3. Step 3: Cross multiply
    8.67x = 11.96 × 5.43
  4. Step 4: Simplify right side
    8.67x = 64.94
  5. Step 5: Solve for x
    x = 64.94/8.67
  6. Step 6: Final answer
    x = 7.49

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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.