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Finding the Fourth Proportional to 9.24, 13.82 and 5.43

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Solution

The fourth proportional to 9.24, 13.82 and 5.43 is: 8.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.24 : 13.82 = 5.43 : x
  2. Step 2: Convert to fraction form
    9.24/13.82 = 5.43/x
  3. Step 3: Cross multiply
    9.24x = 13.82 × 5.43
  4. Step 4: Simplify right side
    9.24x = 75.04
  5. Step 5: Solve for x
    x = 75.04/9.24
  6. Step 6: Final answer
    x = 8.12

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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.