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Finding the Fourth Proportional to 163.26, 244.82 and 76.57

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Solution

The fourth proportional to 163.26, 244.82 and 76.57 is: 114.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.26 : 244.82 = 76.57 : x
  2. Step 2: Convert to fraction form
    163.26/244.82 = 76.57/x
  3. Step 3: Cross multiply
    163.26x = 244.82 × 76.57
  4. Step 4: Simplify right side
    163.26x = 18,745.87
  5. Step 5: Solve for x
    x = 18,745.87/163.26
  6. Step 6: Final answer
    x = 114.82

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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.