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Finding the Fourth Proportional to 108.92, 162.73 and 107.96

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Solution

The fourth proportional to 108.92, 162.73 and 107.96 is: 161.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.92 : 162.73 = 107.96 : x
  2. Step 2: Convert to fraction form
    108.92/162.73 = 107.96/x
  3. Step 3: Cross multiply
    108.92x = 162.73 × 107.96
  4. Step 4: Simplify right side
    108.92x = 17,568.33
  5. Step 5: Solve for x
    x = 17,568.33/108.92
  6. Step 6: Final answer
    x = 161.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.