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Finding the Fourth Proportional to 108.68, 162.54 and 105.73

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Solution

The fourth proportional to 108.68, 162.54 and 105.73 is: 158.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.68 : 162.54 = 105.73 : x
  2. Step 2: Convert to fraction form
    108.68/162.54 = 105.73/x
  3. Step 3: Cross multiply
    108.68x = 162.54 × 105.73
  4. Step 4: Simplify right side
    108.68x = 17,184.95
  5. Step 5: Solve for x
    x = 17,184.95/108.68
  6. Step 6: Final answer
    x = 158.13

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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.