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Finding the Fourth Proportional to 163.76, 225.74 and 122.32

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Solution

The fourth proportional to 163.76, 225.74 and 122.32 is: 168.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.76 : 225.74 = 122.32 : x
  2. Step 2: Convert to fraction form
    163.76/225.74 = 122.32/x
  3. Step 3: Cross multiply
    163.76x = 225.74 × 122.32
  4. Step 4: Simplify right side
    163.76x = 27,610.78
  5. Step 5: Solve for x
    x = 27,610.78/163.76
  6. Step 6: Final answer
    x = 168.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.