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Finding the Fourth Proportional to 119.87, 180.60 and 110.53

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Solution

The fourth proportional to 119.87, 180.60 and 110.53 is: 166.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.87 : 180.60 = 110.53 : x
  2. Step 2: Convert to fraction form
    119.87/180.60 = 110.53/x
  3. Step 3: Cross multiply
    119.87x = 180.60 × 110.53
  4. Step 4: Simplify right side
    119.87x = 19,961.00
  5. Step 5: Solve for x
    x = 19,961.00/119.87
  6. Step 6: Final answer
    x = 166.53

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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.