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Finding the Fourth Proportional to 163.32, 244.96 and 102.26

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Solution

The fourth proportional to 163.32, 244.96 and 102.26 is: 153.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.32 : 244.96 = 102.26 : x
  2. Step 2: Convert to fraction form
    163.32/244.96 = 102.26/x
  3. Step 3: Cross multiply
    163.32x = 244.96 × 102.26
  4. Step 4: Simplify right side
    163.32x = 25,049.97
  5. Step 5: Solve for x
    x = 25,049.97/163.32
  6. Step 6: Final answer
    x = 153.38

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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.