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Finding the Fourth Proportional to 68.68, 102.26 and 67.72

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Solution

The fourth proportional to 68.68, 102.26 and 67.72 is: 100.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.68 : 102.26 = 67.72 : x
  2. Step 2: Convert to fraction form
    68.68/102.26 = 67.72/x
  3. Step 3: Cross multiply
    68.68x = 102.26 × 67.72
  4. Step 4: Simplify right side
    68.68x = 6,925.05
  5. Step 5: Solve for x
    x = 6,925.05/68.68
  6. Step 6: Final answer
    x = 100.83

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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.