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Finding the Fourth Proportional to 120.98, 168.11 and 119.45

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Solution

The fourth proportional to 120.98, 168.11 and 119.45 is: 165.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.98 : 168.11 = 119.45 : x
  2. Step 2: Convert to fraction form
    120.98/168.11 = 119.45/x
  3. Step 3: Cross multiply
    120.98x = 168.11 × 119.45
  4. Step 4: Simplify right side
    120.98x = 20,080.74
  5. Step 5: Solve for x
    x = 20,080.74/120.98
  6. Step 6: Final answer
    x = 165.98

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.