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Finding the Fourth Proportional to 5.38, 8.12 and 5.38

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Solution

The fourth proportional to 5.38, 8.12 and 5.38 is: 8.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.38 : 8.12 = 5.38 : x
  2. Step 2: Convert to fraction form
    5.38/8.12 = 5.38/x
  3. Step 3: Cross multiply
    5.38x = 8.12 × 5.38
  4. Step 4: Simplify right side
    5.38x = 43.69
  5. Step 5: Solve for x
    x = 43.69/5.38
  6. Step 6: Final answer
    x = 8.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.