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Finding the Fourth Proportional to 109.28, 163.68 and 87.92

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Solution

The fourth proportional to 109.28, 163.68 and 87.92 is: 131.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.28 : 163.68 = 87.92 : x
  2. Step 2: Convert to fraction form
    109.28/163.68 = 87.92/x
  3. Step 3: Cross multiply
    109.28x = 163.68 × 87.92
  4. Step 4: Simplify right side
    109.28x = 14,390.75
  5. Step 5: Solve for x
    x = 14,390.75/109.28
  6. Step 6: Final answer
    x = 131.69

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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.