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Finding the Fourth Proportional to 22.50, 33.77 and 8.25

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Solution

The fourth proportional to 22.50, 33.77 and 8.25 is: 12.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.50 : 33.77 = 8.25 : x
  2. Step 2: Convert to fraction form
    22.50/33.77 = 8.25/x
  3. Step 3: Cross multiply
    22.50x = 33.77 × 8.25
  4. Step 4: Simplify right side
    22.50x = 278.56
  5. Step 5: Solve for x
    x = 278.56/22.50
  6. Step 6: Final answer
    x = 12.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.