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Finding the Fourth Proportional to 120.91, 181.16 and 96.82

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Solution

The fourth proportional to 120.91, 181.16 and 96.82 is: 145.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.91 : 181.16 = 96.82 : x
  2. Step 2: Convert to fraction form
    120.91/181.16 = 96.82/x
  3. Step 3: Cross multiply
    120.91x = 181.16 × 96.82
  4. Step 4: Simplify right side
    120.91x = 17,539.01
  5. Step 5: Solve for x
    x = 17,539.01/120.91
  6. Step 6: Final answer
    x = 145.06

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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.