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Finding the Fourth Proportional to 67.68, 102.04 and 63.04

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Solution

The fourth proportional to 67.68, 102.04 and 63.04 is: 95.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.68 : 102.04 = 63.04 : x
  2. Step 2: Convert to fraction form
    67.68/102.04 = 63.04/x
  3. Step 3: Cross multiply
    67.68x = 102.04 × 63.04
  4. Step 4: Simplify right side
    67.68x = 6,432.60
  5. Step 5: Solve for x
    x = 6,432.60/67.68
  6. Step 6: Final answer
    x = 95.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.