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Finding the Fourth Proportional to 67.18, 100.79 and 32.94

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Solution

The fourth proportional to 67.18, 100.79 and 32.94 is: 49.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.18 : 100.79 = 32.94 : x
  2. Step 2: Convert to fraction form
    67.18/100.79 = 32.94/x
  3. Step 3: Cross multiply
    67.18x = 100.79 × 32.94
  4. Step 4: Simplify right side
    67.18x = 3,320.02
  5. Step 5: Solve for x
    x = 3,320.02/67.18
  6. Step 6: Final answer
    x = 49.42

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