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Finding the Fourth Proportional to 110.56, 163.76 and 109.34

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Solution

The fourth proportional to 110.56, 163.76 and 109.34 is: 161.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.56 : 163.76 = 109.34 : x
  2. Step 2: Convert to fraction form
    110.56/163.76 = 109.34/x
  3. Step 3: Cross multiply
    110.56x = 163.76 × 109.34
  4. Step 4: Simplify right side
    110.56x = 17,905.79
  5. Step 5: Solve for x
    x = 17,905.79/110.56
  6. Step 6: Final answer
    x = 161.96

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.