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Finding the Fourth Proportional to 110.64, 165.04 and 108.20

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Solution

The fourth proportional to 110.64, 165.04 and 108.20 is: 161.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.64 : 165.04 = 108.20 : x
  2. Step 2: Convert to fraction form
    110.64/165.04 = 108.20/x
  3. Step 3: Cross multiply
    110.64x = 165.04 × 108.20
  4. Step 4: Simplify right side
    110.64x = 17,857.33
  5. Step 5: Solve for x
    x = 17,857.33/110.64
  6. Step 6: Final answer
    x = 161.40

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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.