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Finding the Fourth Proportional to 110.12, 163.83 and 105.80

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Solution

The fourth proportional to 110.12, 163.83 and 105.80 is: 157.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.12 : 163.83 = 105.80 : x
  2. Step 2: Convert to fraction form
    110.12/163.83 = 105.80/x
  3. Step 3: Cross multiply
    110.12x = 163.83 × 105.80
  4. Step 4: Simplify right side
    110.12x = 17,332.69
  5. Step 5: Solve for x
    x = 17,332.69/110.12
  6. Step 6: Final answer
    x = 157.40

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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.