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Finding the Fourth Proportional to 110.60, 165.74 and 81.96

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Solution

The fourth proportional to 110.60, 165.74 and 81.96 is: 122.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.60 : 165.74 = 81.96 : x
  2. Step 2: Convert to fraction form
    110.60/165.74 = 81.96/x
  3. Step 3: Cross multiply
    110.60x = 165.74 × 81.96
  4. Step 4: Simplify right side
    110.60x = 13,584.05
  5. Step 5: Solve for x
    x = 13,584.05/110.60
  6. Step 6: Final answer
    x = 122.82

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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.