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Finding the Fourth Proportional to 108.01, 161.74 and 82.09

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Solution

The fourth proportional to 108.01, 161.74 and 82.09 is: 122.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.01 : 161.74 = 82.09 : x
  2. Step 2: Convert to fraction form
    108.01/161.74 = 82.09/x
  3. Step 3: Cross multiply
    108.01x = 161.74 × 82.09
  4. Step 4: Simplify right side
    108.01x = 13,277.24
  5. Step 5: Solve for x
    x = 13,277.24/108.01
  6. Step 6: Final answer
    x = 122.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.