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Finding the Fourth Proportional to 163.68, 225.92 and 93.78

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Solution

The fourth proportional to 163.68, 225.92 and 93.78 is: 129.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.68 : 225.92 = 93.78 : x
  2. Step 2: Convert to fraction form
    163.68/225.92 = 93.78/x
  3. Step 3: Cross multiply
    163.68x = 225.92 × 93.78
  4. Step 4: Simplify right side
    163.68x = 21,186.78
  5. Step 5: Solve for x
    x = 21,186.78/163.68
  6. Step 6: Final answer
    x = 129.44

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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.