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Finding the Fourth Proportional to 5.50, 8.20 and 5.27

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Solution

The fourth proportional to 5.50, 8.20 and 5.27 is: 7.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.50 : 8.20 = 5.27 : x
  2. Step 2: Convert to fraction form
    5.50/8.20 = 5.27/x
  3. Step 3: Cross multiply
    5.50x = 8.20 × 5.27
  4. Step 4: Simplify right side
    5.50x = 43.22
  5. Step 5: Solve for x
    x = 43.22/5.50
  6. Step 6: Final answer
    x = 7.86

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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.