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Finding the Fourth Proportional to 67.68, 92.13 and 67.29

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Solution

The fourth proportional to 67.68, 92.13 and 67.29 is: 91.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.68 : 92.13 = 67.29 : x
  2. Step 2: Convert to fraction form
    67.68/92.13 = 67.29/x
  3. Step 3: Cross multiply
    67.68x = 92.13 × 67.29
  4. Step 4: Simplify right side
    67.68x = 6,199.43
  5. Step 5: Solve for x
    x = 6,199.43/67.68
  6. Step 6: Final answer
    x = 91.60

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.