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Finding the Fourth Proportional to 120.17, 179.12 and 107.08

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Solution

The fourth proportional to 120.17, 179.12 and 107.08 is: 159.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.17 : 179.12 = 107.08 : x
  2. Step 2: Convert to fraction form
    120.17/179.12 = 107.08/x
  3. Step 3: Cross multiply
    120.17x = 179.12 × 107.08
  4. Step 4: Simplify right side
    120.17x = 19,179.86
  5. Step 5: Solve for x
    x = 19,179.86/120.17
  6. Step 6: Final answer
    x = 159.61

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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.