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Finding the Fourth Proportional to 33.90, 50.83 and 16.78

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Solution

The fourth proportional to 33.90, 50.83 and 16.78 is: 25.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.90 : 50.83 = 16.78 : x
  2. Step 2: Convert to fraction form
    33.90/50.83 = 16.78/x
  3. Step 3: Cross multiply
    33.90x = 50.83 × 16.78
  4. Step 4: Simplify right side
    33.90x = 852.93
  5. Step 5: Solve for x
    x = 852.93/33.90
  6. Step 6: Final answer
    x = 25.16

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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.