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Finding the Fourth Proportional to 110.10, 150.99 and 105.60

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Solution

The fourth proportional to 110.10, 150.99 and 105.60 is: 144.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.10 : 150.99 = 105.60 : x
  2. Step 2: Convert to fraction form
    110.10/150.99 = 105.60/x
  3. Step 3: Cross multiply
    110.10x = 150.99 × 105.60
  4. Step 4: Simplify right side
    110.10x = 15,944.54
  5. Step 5: Solve for x
    x = 15,944.54/110.10
  6. Step 6: Final answer
    x = 144.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.