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Finding the Fourth Proportional to 5.43, 8.11 and 5

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Solution

The fourth proportional to 5.43, 8.11 and 5 is: 7.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.43 : 8.11 = 5 : x
  2. Step 2: Convert to fraction form
    5.43/8.11 = 5/x
  3. Step 3: Cross multiply
    5.43x = 8.11 × 5
  4. Step 4: Simplify right side
    5.43x = 40.55
  5. Step 5: Solve for x
    x = 40.55/5.43
  6. Step 6: Final answer
    x = 7.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.