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Finding the Fourth Proportional to 163.92, 246 and 91.84

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Solution

The fourth proportional to 163.92, 246 and 91.84 is: 137.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.92 : 246 = 91.84 : x
  2. Step 2: Convert to fraction form
    163.92/246 = 91.84/x
  3. Step 3: Cross multiply
    163.92x = 246 × 91.84
  4. Step 4: Simplify right side
    163.92x = 22,592.64
  5. Step 5: Solve for x
    x = 22,592.64/163.92
  6. Step 6: Final answer
    x = 137.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.