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Finding the Fourth Proportional to 68.12, 102.07 and 54.42

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Solution

The fourth proportional to 68.12, 102.07 and 54.42 is: 81.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.12 : 102.07 = 54.42 : x
  2. Step 2: Convert to fraction form
    68.12/102.07 = 54.42/x
  3. Step 3: Cross multiply
    68.12x = 102.07 × 54.42
  4. Step 4: Simplify right side
    68.12x = 5,554.65
  5. Step 5: Solve for x
    x = 5,554.65/68.12
  6. Step 6: Final answer
    x = 81.54

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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.