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Finding the Fourth Proportional to 118.46, 163.22 and 102.06

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Solution

The fourth proportional to 118.46, 163.22 and 102.06 is: 140.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.46 : 163.22 = 102.06 : x
  2. Step 2: Convert to fraction form
    118.46/163.22 = 102.06/x
  3. Step 3: Cross multiply
    118.46x = 163.22 × 102.06
  4. Step 4: Simplify right side
    118.46x = 16,657.72
  5. Step 5: Solve for x
    x = 16,657.72/118.46
  6. Step 6: Final answer
    x = 140.62

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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.