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Finding the Fourth Proportional to 33.50, 50.16 and 22.07

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Solution

The fourth proportional to 33.50, 50.16 and 22.07 is: 33.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.50 : 50.16 = 22.07 : x
  2. Step 2: Convert to fraction form
    33.50/50.16 = 22.07/x
  3. Step 3: Cross multiply
    33.50x = 50.16 × 22.07
  4. Step 4: Simplify right side
    33.50x = 1,106.78
  5. Step 5: Solve for x
    x = 1,106.78/33.50
  6. Step 6: Final answer
    x = 33.04

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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.