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Finding the Fourth Proportional to 120.45, 165.20 and 110.73

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Solution

The fourth proportional to 120.45, 165.20 and 110.73 is: 151.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.45 : 165.20 = 110.73 : x
  2. Step 2: Convert to fraction form
    120.45/165.20 = 110.73/x
  3. Step 3: Cross multiply
    120.45x = 165.20 × 110.73
  4. Step 4: Simplify right side
    120.45x = 18,292.60
  5. Step 5: Solve for x
    x = 18,292.60/120.45
  6. Step 6: Final answer
    x = 151.87

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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.