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Finding the Fourth Proportional to 8.89, 12.27 and 5.82

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Solution

The fourth proportional to 8.89, 12.27 and 5.82 is: 8.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.89 : 12.27 = 5.82 : x
  2. Step 2: Convert to fraction form
    8.89/12.27 = 5.82/x
  3. Step 3: Cross multiply
    8.89x = 12.27 × 5.82
  4. Step 4: Simplify right side
    8.89x = 71.46
  5. Step 5: Solve for x
    x = 71.46/8.89
  6. Step 6: Final answer
    x = 8.04

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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.