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Finding the Fourth Proportional to 5.50, 8.20 and 5.12

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Solution

The fourth proportional to 5.50, 8.20 and 5.12 is: 7.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.50 : 8.20 = 5.12 : x
  2. Step 2: Convert to fraction form
    5.50/8.20 = 5.12/x
  3. Step 3: Cross multiply
    5.50x = 8.20 × 5.12
  4. Step 4: Simplify right side
    5.50x = 41.93
  5. Step 5: Solve for x
    x = 41.93/5.50
  6. Step 6: Final answer
    x = 7.63

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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.