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Finding the Fourth Proportional to 163.27, 225.32 and 97.77

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Solution

The fourth proportional to 163.27, 225.32 and 97.77 is: 134.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.27 : 225.32 = 97.77 : x
  2. Step 2: Convert to fraction form
    163.27/225.32 = 97.77/x
  3. Step 3: Cross multiply
    163.27x = 225.32 × 97.77
  4. Step 4: Simplify right side
    163.27x = 22,029.54
  5. Step 5: Solve for x
    x = 22,029.54/163.27
  6. Step 6: Final answer
    x = 134.93

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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.