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Finding the Fourth Proportional to 68.57, 102.75 and 31.99

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Solution

The fourth proportional to 68.57, 102.75 and 31.99 is: 47.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.57 : 102.75 = 31.99 : x
  2. Step 2: Convert to fraction form
    68.57/102.75 = 31.99/x
  3. Step 3: Cross multiply
    68.57x = 102.75 × 31.99
  4. Step 4: Simplify right side
    68.57x = 3,286.97
  5. Step 5: Solve for x
    x = 3,286.97/68.57
  6. Step 6: Final answer
    x = 47.94

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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.