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Finding the Fourth Proportional to 108.58, 161.75 and 101.94

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Solution

The fourth proportional to 108.58, 161.75 and 101.94 is: 151.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.58 : 161.75 = 101.94 : x
  2. Step 2: Convert to fraction form
    108.58/161.75 = 101.94/x
  3. Step 3: Cross multiply
    108.58x = 161.75 × 101.94
  4. Step 4: Simplify right side
    108.58x = 16,488.80
  5. Step 5: Solve for x
    x = 16,488.80/108.58
  6. Step 6: Final answer
    x = 151.86

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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.