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Finding the Fourth Proportional to 163.24, 225.27 and 97.78

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Solution

The fourth proportional to 163.24, 225.27 and 97.78 is: 134.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.24 : 225.27 = 97.78 : x
  2. Step 2: Convert to fraction form
    163.24/225.27 = 97.78/x
  3. Step 3: Cross multiply
    163.24x = 225.27 × 97.78
  4. Step 4: Simplify right side
    163.24x = 22,027.22
  5. Step 5: Solve for x
    x = 22,027.22/163.24
  6. Step 6: Final answer
    x = 134.94

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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.