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Finding the Fourth Proportional to 108.20, 164.14 and 108.20

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Solution

The fourth proportional to 108.20, 164.14 and 108.20 is: 164.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.20 : 164.14 = 108.20 : x
  2. Step 2: Convert to fraction form
    108.20/164.14 = 108.20/x
  3. Step 3: Cross multiply
    108.20x = 164.14 × 108.20
  4. Step 4: Simplify right side
    108.20x = 17,759.95
  5. Step 5: Solve for x
    x = 17,759.95/108.20
  6. Step 6: Final answer
    x = 164.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.