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Finding the Fourth Proportional to 119.60, 165 and 80.25

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Solution

The fourth proportional to 119.60, 165 and 80.25 is: 110.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.60 : 165 = 80.25 : x
  2. Step 2: Convert to fraction form
    119.60/165 = 80.25/x
  3. Step 3: Cross multiply
    119.60x = 165 × 80.25
  4. Step 4: Simplify right side
    119.60x = 13,241.25
  5. Step 5: Solve for x
    x = 13,241.25/119.60
  6. Step 6: Final answer
    x = 110.71

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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.