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Finding the Fourth Proportional to 163.36, 244.71 and 76.58

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Solution

The fourth proportional to 163.36, 244.71 and 76.58 is: 114.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.36 : 244.71 = 76.58 : x
  2. Step 2: Convert to fraction form
    163.36/244.71 = 76.58/x
  3. Step 3: Cross multiply
    163.36x = 244.71 × 76.58
  4. Step 4: Simplify right side
    163.36x = 18,738.86
  5. Step 5: Solve for x
    x = 18,738.86/163.36
  6. Step 6: Final answer
    x = 114.71

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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.