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Finding the Fourth Proportional to 108.82, 149.96 and 77.73

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Solution

The fourth proportional to 108.82, 149.96 and 77.73 is: 107.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.82 : 149.96 = 77.73 : x
  2. Step 2: Convert to fraction form
    108.82/149.96 = 77.73/x
  3. Step 3: Cross multiply
    108.82x = 149.96 × 77.73
  4. Step 4: Simplify right side
    108.82x = 11,656.39
  5. Step 5: Solve for x
    x = 11,656.39/108.82
  6. Step 6: Final answer
    x = 107.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.