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Finding the Fourth Proportional to 108.90, 164.20 and 107.72

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Solution

The fourth proportional to 108.90, 164.20 and 107.72 is: 162.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.90 : 164.20 = 107.72 : x
  2. Step 2: Convert to fraction form
    108.90/164.20 = 107.72/x
  3. Step 3: Cross multiply
    108.90x = 164.20 × 107.72
  4. Step 4: Simplify right side
    108.90x = 17,687.62
  5. Step 5: Solve for x
    x = 17,687.62/108.90
  6. Step 6: Final answer
    x = 162.42

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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.