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Finding the Fourth Proportional to 68.46, 101.92 and 68.12

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Solution

The fourth proportional to 68.46, 101.92 and 68.12 is: 101.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.46 : 101.92 = 68.12 : x
  2. Step 2: Convert to fraction form
    68.46/101.92 = 68.12/x
  3. Step 3: Cross multiply
    68.46x = 101.92 × 68.12
  4. Step 4: Simplify right side
    68.46x = 6,942.21
  5. Step 5: Solve for x
    x = 6,942.21/68.46
  6. Step 6: Final answer
    x = 101.41

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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.