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Finding the Fourth Proportional to 75.36, 113.09 and 36.82

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Solution

The fourth proportional to 75.36, 113.09 and 36.82 is: 55.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.36 : 113.09 = 36.82 : x
  2. Step 2: Convert to fraction form
    75.36/113.09 = 36.82/x
  3. Step 3: Cross multiply
    75.36x = 113.09 × 36.82
  4. Step 4: Simplify right side
    75.36x = 4,163.93
  5. Step 5: Solve for x
    x = 4,163.93/75.36
  6. Step 6: Final answer
    x = 55.25

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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.