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Finding the Fourth Proportional to 22.23, 33.50 and 22.03

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Solution

The fourth proportional to 22.23, 33.50 and 22.03 is: 33.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.23 : 33.50 = 22.03 : x
  2. Step 2: Convert to fraction form
    22.23/33.50 = 22.03/x
  3. Step 3: Cross multiply
    22.23x = 33.50 × 22.03
  4. Step 4: Simplify right side
    22.23x = 737.98
  5. Step 5: Solve for x
    x = 737.98/22.23
  6. Step 6: Final answer
    x = 33.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.