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Finding the Fourth Proportional to 118.50, 163.68 and 96.84

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Solution

The fourth proportional to 118.50, 163.68 and 96.84 is: 133.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.50 : 163.68 = 96.84 : x
  2. Step 2: Convert to fraction form
    118.50/163.68 = 96.84/x
  3. Step 3: Cross multiply
    118.50x = 163.68 × 96.84
  4. Step 4: Simplify right side
    118.50x = 15,850.77
  5. Step 5: Solve for x
    x = 15,850.77/118.50
  6. Step 6: Final answer
    x = 133.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.