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Finding the Fourth Proportional to 108.27, 148.50 and 107.73

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Solution

The fourth proportional to 108.27, 148.50 and 107.73 is: 147.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.27 : 148.50 = 107.73 : x
  2. Step 2: Convert to fraction form
    108.27/148.50 = 107.73/x
  3. Step 3: Cross multiply
    108.27x = 148.50 × 107.73
  4. Step 4: Simplify right side
    108.27x = 15,997.91
  5. Step 5: Solve for x
    x = 15,997.91/108.27
  6. Step 6: Final answer
    x = 147.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.