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Finding the Fourth Proportional to 163.24, 244.92 and 82.06

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Solution

The fourth proportional to 163.24, 244.92 and 82.06 is: 123.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.24 : 244.92 = 82.06 : x
  2. Step 2: Convert to fraction form
    163.24/244.92 = 82.06/x
  3. Step 3: Cross multiply
    163.24x = 244.92 × 82.06
  4. Step 4: Simplify right side
    163.24x = 20,098.14
  5. Step 5: Solve for x
    x = 20,098.14/163.24
  6. Step 6: Final answer
    x = 123.12

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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.