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Finding the Fourth Proportional to 110.56, 166.60 and 109.64

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Solution

The fourth proportional to 110.56, 166.60 and 109.64 is: 165.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.56 : 166.60 = 109.64 : x
  2. Step 2: Convert to fraction form
    110.56/166.60 = 109.64/x
  3. Step 3: Cross multiply
    110.56x = 166.60 × 109.64
  4. Step 4: Simplify right side
    110.56x = 18,266.02
  5. Step 5: Solve for x
    x = 18,266.02/110.56
  6. Step 6: Final answer
    x = 165.21

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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.