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Finding the Fourth Proportional to 109.08, 163.68 and 108.74

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Solution

The fourth proportional to 109.08, 163.68 and 108.74 is: 163.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.08 : 163.68 = 108.74 : x
  2. Step 2: Convert to fraction form
    109.08/163.68 = 108.74/x
  3. Step 3: Cross multiply
    109.08x = 163.68 × 108.74
  4. Step 4: Simplify right side
    109.08x = 17,798.56
  5. Step 5: Solve for x
    x = 17,798.56/109.08
  6. Step 6: Final answer
    x = 163.17

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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.