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Finding the Fourth Proportional to 8.20, 11.32 and 5.78

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Solution

The fourth proportional to 8.20, 11.32 and 5.78 is: 7.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.20 : 11.32 = 5.78 : x
  2. Step 2: Convert to fraction form
    8.20/11.32 = 5.78/x
  3. Step 3: Cross multiply
    8.20x = 11.32 × 5.78
  4. Step 4: Simplify right side
    8.20x = 65.34
  5. Step 5: Solve for x
    x = 65.34/8.20
  6. Step 6: Final answer
    x = 7.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.