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Finding the Fourth Proportional to 163.14, 244.60 and 82.02

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Solution

The fourth proportional to 163.14, 244.60 and 82.02 is: 122.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.14 : 244.60 = 82.02 : x
  2. Step 2: Convert to fraction form
    163.14/244.60 = 82.02/x
  3. Step 3: Cross multiply
    163.14x = 244.60 × 82.02
  4. Step 4: Simplify right side
    163.14x = 20,062.09
  5. Step 5: Solve for x
    x = 20,062.09/163.14
  6. Step 6: Final answer
    x = 122.97

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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.