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Finding the Fourth Proportional to 108.69, 161.81 and 103.43

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Solution

The fourth proportional to 108.69, 161.81 and 103.43 is: 153.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.69 : 161.81 = 103.43 : x
  2. Step 2: Convert to fraction form
    108.69/161.81 = 103.43/x
  3. Step 3: Cross multiply
    108.69x = 161.81 × 103.43
  4. Step 4: Simplify right side
    108.69x = 16,734.68
  5. Step 5: Solve for x
    x = 16,734.68/108.69
  6. Step 6: Final answer
    x = 153.97

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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.