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Finding the Fourth Proportional to 110.27, 165.25 and 82.73

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Solution

The fourth proportional to 110.27, 165.25 and 82.73 is: 123.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.27 : 165.25 = 82.73 : x
  2. Step 2: Convert to fraction form
    110.27/165.25 = 82.73/x
  3. Step 3: Cross multiply
    110.27x = 165.25 × 82.73
  4. Step 4: Simplify right side
    110.27x = 13,671.13
  5. Step 5: Solve for x
    x = 13,671.13/110.27
  6. Step 6: Final answer
    x = 123.98

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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.