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Finding the Fourth Proportional to 120.15, 181.10 and 109.89

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Solution

The fourth proportional to 120.15, 181.10 and 109.89 is: 165.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.15 : 181.10 = 109.89 : x
  2. Step 2: Convert to fraction form
    120.15/181.10 = 109.89/x
  3. Step 3: Cross multiply
    120.15x = 181.10 × 109.89
  4. Step 4: Simplify right side
    120.15x = 19,900.17
  5. Step 5: Solve for x
    x = 19,900.17/120.15
  6. Step 6: Final answer
    x = 165.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.