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Finding the Fourth Proportional to 8.50, 11.65 and 8.22

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Solution

The fourth proportional to 8.50, 11.65 and 8.22 is: 11.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.50 : 11.65 = 8.22 : x
  2. Step 2: Convert to fraction form
    8.50/11.65 = 8.22/x
  3. Step 3: Cross multiply
    8.50x = 11.65 × 8.22
  4. Step 4: Simplify right side
    8.50x = 95.76
  5. Step 5: Solve for x
    x = 95.76/8.50
  6. Step 6: Final answer
    x = 11.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.