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Finding the Fourth Proportional to 50.84, 76.24 and 27.98

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Solution

The fourth proportional to 50.84, 76.24 and 27.98 is: 41.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.84 : 76.24 = 27.98 : x
  2. Step 2: Convert to fraction form
    50.84/76.24 = 27.98/x
  3. Step 3: Cross multiply
    50.84x = 76.24 × 27.98
  4. Step 4: Simplify right side
    50.84x = 2,133.20
  5. Step 5: Solve for x
    x = 2,133.20/50.84
  6. Step 6: Final answer
    x = 41.96

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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.