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Finding the Fourth Proportional to 111.20, 165.70 and 110.24

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Solution

The fourth proportional to 111.20, 165.70 and 110.24 is: 164.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.20 : 165.70 = 110.24 : x
  2. Step 2: Convert to fraction form
    111.20/165.70 = 110.24/x
  3. Step 3: Cross multiply
    111.20x = 165.70 × 110.24
  4. Step 4: Simplify right side
    111.20x = 18,266.77
  5. Step 5: Solve for x
    x = 18,266.77/111.20
  6. Step 6: Final answer
    x = 164.27

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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.