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Finding the Fourth Proportional to 8.05, 11.09 and 6.22

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Solution

The fourth proportional to 8.05, 11.09 and 6.22 is: 8.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.05 : 11.09 = 6.22 : x
  2. Step 2: Convert to fraction form
    8.05/11.09 = 6.22/x
  3. Step 3: Cross multiply
    8.05x = 11.09 × 6.22
  4. Step 4: Simplify right side
    8.05x = 68.98
  5. Step 5: Solve for x
    x = 68.98/8.05
  6. Step 6: Final answer
    x = 8.57

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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.