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Finding the Fourth Proportional to 120.21, 180.51 and 68.97

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Solution

The fourth proportional to 120.21, 180.51 and 68.97 is: 103.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.21 : 180.51 = 68.97 : x
  2. Step 2: Convert to fraction form
    120.21/180.51 = 68.97/x
  3. Step 3: Cross multiply
    120.21x = 180.51 × 68.97
  4. Step 4: Simplify right side
    120.21x = 12,449.77
  5. Step 5: Solve for x
    x = 12,449.77/120.21
  6. Step 6: Final answer
    x = 103.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.