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Finding the Fourth Proportional to 22.02, 33.02 and 8.51

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Solution

The fourth proportional to 22.02, 33.02 and 8.51 is: 12.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.02 : 33.02 = 8.51 : x
  2. Step 2: Convert to fraction form
    22.02/33.02 = 8.51/x
  3. Step 3: Cross multiply
    22.02x = 33.02 × 8.51
  4. Step 4: Simplify right side
    22.02x = 280.87
  5. Step 5: Solve for x
    x = 280.87/22.02
  6. Step 6: Final answer
    x = 12.75

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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.