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Finding the Fourth Proportional to 163.95, 225.95 and 122.46

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Solution

The fourth proportional to 163.95, 225.95 and 122.46 is: 168.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.95 : 225.95 = 122.46 : x
  2. Step 2: Convert to fraction form
    163.95/225.95 = 122.46/x
  3. Step 3: Cross multiply
    163.95x = 225.95 × 122.46
  4. Step 4: Simplify right side
    163.95x = 27,669.22
  5. Step 5: Solve for x
    x = 27,669.22/163.95
  6. Step 6: Final answer
    x = 168.77

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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.