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Finding the Fourth Proportional to 120.02, 180.09 and 81.52

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Solution

The fourth proportional to 120.02, 180.09 and 81.52 is: 122.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.02 : 180.09 = 81.52 : x
  2. Step 2: Convert to fraction form
    120.02/180.09 = 81.52/x
  3. Step 3: Cross multiply
    120.02x = 180.09 × 81.52
  4. Step 4: Simplify right side
    120.02x = 14,680.49
  5. Step 5: Solve for x
    x = 14,680.49/120.02
  6. Step 6: Final answer
    x = 122.32

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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.