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Finding the Fourth Proportional to 118.28, 163.07 and 76.84

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Solution

The fourth proportional to 118.28, 163.07 and 76.84 is: 105.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.28 : 163.07 = 76.84 : x
  2. Step 2: Convert to fraction form
    118.28/163.07 = 76.84/x
  3. Step 3: Cross multiply
    118.28x = 163.07 × 76.84
  4. Step 4: Simplify right side
    118.28x = 12,530.30
  5. Step 5: Solve for x
    x = 12,530.30/118.28
  6. Step 6: Final answer
    x = 105.94

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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.