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Finding the Fourth Proportional to 75.97, 113.82 and 52.03

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Solution

The fourth proportional to 75.97, 113.82 and 52.03 is: 77.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.97 : 113.82 = 52.03 : x
  2. Step 2: Convert to fraction form
    75.97/113.82 = 52.03/x
  3. Step 3: Cross multiply
    75.97x = 113.82 × 52.03
  4. Step 4: Simplify right side
    75.97x = 5,922.05
  5. Step 5: Solve for x
    x = 5,922.05/75.97
  6. Step 6: Final answer
    x = 77.95

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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.