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Finding the Fourth Proportional to 108.14, 161.87 and 77.69

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Solution

The fourth proportional to 108.14, 161.87 and 77.69 is: 116.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.14 : 161.87 = 77.69 : x
  2. Step 2: Convert to fraction form
    108.14/161.87 = 77.69/x
  3. Step 3: Cross multiply
    108.14x = 161.87 × 77.69
  4. Step 4: Simplify right side
    108.14x = 12,575.70
  5. Step 5: Solve for x
    x = 12,575.70/108.14
  6. Step 6: Final answer
    x = 116.30

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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.