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Finding the Fourth Proportional to 108.68, 161.80 and 108.14

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Solution

The fourth proportional to 108.68, 161.80 and 108.14 is: 161.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.68 : 161.80 = 108.14 : x
  2. Step 2: Convert to fraction form
    108.68/161.80 = 108.14/x
  3. Step 3: Cross multiply
    108.68x = 161.80 × 108.14
  4. Step 4: Simplify right side
    108.68x = 17,497.05
  5. Step 5: Solve for x
    x = 17,497.05/108.68
  6. Step 6: Final answer
    x = 161.00

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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.