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Finding the Fourth Proportional to 108.69, 161.82 and 108.15

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Solution

The fourth proportional to 108.69, 161.82 and 108.15 is: 161.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.69 : 161.82 = 108.15 : x
  2. Step 2: Convert to fraction form
    108.69/161.82 = 108.15/x
  3. Step 3: Cross multiply
    108.69x = 161.82 × 108.15
  4. Step 4: Simplify right side
    108.69x = 17,500.83
  5. Step 5: Solve for x
    x = 17,500.83/108.69
  6. Step 6: Final answer
    x = 161.02

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