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Finding the Fourth Proportional to 33.68, 50.22 and 33.14

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Solution

The fourth proportional to 33.68, 50.22 and 33.14 is: 49.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.68 : 50.22 = 33.14 : x
  2. Step 2: Convert to fraction form
    33.68/50.22 = 33.14/x
  3. Step 3: Cross multiply
    33.68x = 50.22 × 33.14
  4. Step 4: Simplify right side
    33.68x = 1,664.42
  5. Step 5: Solve for x
    x = 1,664.42/33.68
  6. Step 6: Final answer
    x = 49.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.