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Finding the Fourth Proportional to 118.43, 163.03 and 102.67

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Solution

The fourth proportional to 118.43, 163.03 and 102.67 is: 141.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.43 : 163.03 = 102.67 : x
  2. Step 2: Convert to fraction form
    118.43/163.03 = 102.67/x
  3. Step 3: Cross multiply
    118.43x = 163.03 × 102.67
  4. Step 4: Simplify right side
    118.43x = 16,738.29
  5. Step 5: Solve for x
    x = 16,738.29/118.43
  6. Step 6: Final answer
    x = 141.33

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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.