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Finding the Fourth Proportional to 120.14, 179.76 and 89.54

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Solution

The fourth proportional to 120.14, 179.76 and 89.54 is: 133.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.14 : 179.76 = 89.54 : x
  2. Step 2: Convert to fraction form
    120.14/179.76 = 89.54/x
  3. Step 3: Cross multiply
    120.14x = 179.76 × 89.54
  4. Step 4: Simplify right side
    120.14x = 16,095.71
  5. Step 5: Solve for x
    x = 16,095.71/120.14
  6. Step 6: Final answer
    x = 133.97

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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.