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Finding the Fourth Proportional to 120.94, 165.42 and 119.05

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Solution

The fourth proportional to 120.94, 165.42 and 119.05 is: 162.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.94 : 165.42 = 119.05 : x
  2. Step 2: Convert to fraction form
    120.94/165.42 = 119.05/x
  3. Step 3: Cross multiply
    120.94x = 165.42 × 119.05
  4. Step 4: Simplify right side
    120.94x = 19,692.66
  5. Step 5: Solve for x
    x = 19,692.66/120.94
  6. Step 6: Final answer
    x = 162.83

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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.