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Finding the Fourth Proportional to 163.09, 225.01 and 97.55

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Solution

The fourth proportional to 163.09, 225.01 and 97.55 is: 134.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.09 : 225.01 = 97.55 : x
  2. Step 2: Convert to fraction form
    163.09/225.01 = 97.55/x
  3. Step 3: Cross multiply
    163.09x = 225.01 × 97.55
  4. Step 4: Simplify right side
    163.09x = 21,949.73
  5. Step 5: Solve for x
    x = 21,949.73/163.09
  6. Step 6: Final answer
    x = 134.59

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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.