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Finding the Fourth Proportional to 68.46, 101.81 and 67.77

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Solution

The fourth proportional to 68.46, 101.81 and 67.77 is: 100.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.46 : 101.81 = 67.77 : x
  2. Step 2: Convert to fraction form
    68.46/101.81 = 67.77/x
  3. Step 3: Cross multiply
    68.46x = 101.81 × 67.77
  4. Step 4: Simplify right side
    68.46x = 6,900.31
  5. Step 5: Solve for x
    x = 6,900.31/68.46
  6. Step 6: Final answer
    x = 100.80

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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.