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Finding the Fourth Proportional to 5.46, 8.11 and 5.38

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Solution

The fourth proportional to 5.46, 8.11 and 5.38 is: 7.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.46 : 8.11 = 5.38 : x
  2. Step 2: Convert to fraction form
    5.46/8.11 = 5.38/x
  3. Step 3: Cross multiply
    5.46x = 8.11 × 5.38
  4. Step 4: Simplify right side
    5.46x = 43.62
  5. Step 5: Solve for x
    x = 43.62/5.46
  6. Step 6: Final answer
    x = 7.99

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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.