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Finding the Fourth Proportional to 121.59, 168.48 and 120.10

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Solution

The fourth proportional to 121.59, 168.48 and 120.10 is: 166.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.59 : 168.48 = 120.10 : x
  2. Step 2: Convert to fraction form
    121.59/168.48 = 120.10/x
  3. Step 3: Cross multiply
    121.59x = 168.48 × 120.10
  4. Step 4: Simplify right side
    121.59x = 20,234.45
  5. Step 5: Solve for x
    x = 20,234.45/121.59
  6. Step 6: Final answer
    x = 166.42

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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.