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Finding the Fourth Proportional to 163.62, 225.78 and 93.66

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Solution

The fourth proportional to 163.62, 225.78 and 93.66 is: 129.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.62 : 225.78 = 93.66 : x
  2. Step 2: Convert to fraction form
    163.62/225.78 = 93.66/x
  3. Step 3: Cross multiply
    163.62x = 225.78 × 93.66
  4. Step 4: Simplify right side
    163.62x = 21,145.62
  5. Step 5: Solve for x
    x = 21,145.62/163.62
  6. Step 6: Final answer
    x = 129.24

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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.