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Finding the Fourth Proportional to 33.12, 45.71 and 22.21

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Solution

The fourth proportional to 33.12, 45.71 and 22.21 is: 30.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.12 : 45.71 = 22.21 : x
  2. Step 2: Convert to fraction form
    33.12/45.71 = 22.21/x
  3. Step 3: Cross multiply
    33.12x = 45.71 × 22.21
  4. Step 4: Simplify right side
    33.12x = 1,015.01
  5. Step 5: Solve for x
    x = 1,015.01/33.12
  6. Step 6: Final answer
    x = 30.65

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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.