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Finding the Fourth Proportional to 8.20, 11.32 and 4.56

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Solution

The fourth proportional to 8.20, 11.32 and 4.56 is: 6.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.20 : 11.32 = 4.56 : x
  2. Step 2: Convert to fraction form
    8.20/11.32 = 4.56/x
  3. Step 3: Cross multiply
    8.20x = 11.32 × 4.56
  4. Step 4: Simplify right side
    8.20x = 51.62
  5. Step 5: Solve for x
    x = 51.62/8.20
  6. Step 6: Final answer
    x = 6.29

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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.