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Finding the Fourth Proportional to 120.10, 180.18 and 51.61

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Solution

The fourth proportional to 120.10, 180.18 and 51.61 is: 77.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.10 : 180.18 = 51.61 : x
  2. Step 2: Convert to fraction form
    120.10/180.18 = 51.61/x
  3. Step 3: Cross multiply
    120.10x = 180.18 × 51.61
  4. Step 4: Simplify right side
    120.10x = 9,299.09
  5. Step 5: Solve for x
    x = 9,299.09/120.10
  6. Step 6: Final answer
    x = 77.43

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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.