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Finding the Fourth Proportional to 50.84, 76.29 and 33.73

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Solution

The fourth proportional to 50.84, 76.29 and 33.73 is: 50.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.84 : 76.29 = 33.73 : x
  2. Step 2: Convert to fraction form
    50.84/76.29 = 33.73/x
  3. Step 3: Cross multiply
    50.84x = 76.29 × 33.73
  4. Step 4: Simplify right side
    50.84x = 2,573.13
  5. Step 5: Solve for x
    x = 2,573.13/50.84
  6. Step 6: Final answer
    x = 50.61

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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.