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Finding the Fourth Proportional to 120.88, 165.80 and 119.44

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Solution

The fourth proportional to 120.88, 165.80 and 119.44 is: 163.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.88 : 165.80 = 119.44 : x
  2. Step 2: Convert to fraction form
    120.88/165.80 = 119.44/x
  3. Step 3: Cross multiply
    120.88x = 165.80 × 119.44
  4. Step 4: Simplify right side
    120.88x = 19,803.15
  5. Step 5: Solve for x
    x = 19,803.15/120.88
  6. Step 6: Final answer
    x = 163.82

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.