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Finding the Fourth Proportional to 108.42, 161.54 and 105.99

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Solution

The fourth proportional to 108.42, 161.54 and 105.99 is: 157.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.42 : 161.54 = 105.99 : x
  2. Step 2: Convert to fraction form
    108.42/161.54 = 105.99/x
  3. Step 3: Cross multiply
    108.42x = 161.54 × 105.99
  4. Step 4: Simplify right side
    108.42x = 17,121.09
  5. Step 5: Solve for x
    x = 17,121.09/108.42
  6. Step 6: Final answer
    x = 157.91

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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.