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Finding the Fourth Proportional to 120.12, 179.22 and 99.96

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Solution

The fourth proportional to 120.12, 179.22 and 99.96 is: 149.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.12 : 179.22 = 99.96 : x
  2. Step 2: Convert to fraction form
    120.12/179.22 = 99.96/x
  3. Step 3: Cross multiply
    120.12x = 179.22 × 99.96
  4. Step 4: Simplify right side
    120.12x = 17,914.83
  5. Step 5: Solve for x
    x = 17,914.83/120.12
  6. Step 6: Final answer
    x = 149.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.