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Finding the Fourth Proportional to 67.02, 92.66 and 54.87

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Solution

The fourth proportional to 67.02, 92.66 and 54.87 is: 75.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.02 : 92.66 = 54.87 : x
  2. Step 2: Convert to fraction form
    67.02/92.66 = 54.87/x
  3. Step 3: Cross multiply
    67.02x = 92.66 × 54.87
  4. Step 4: Simplify right side
    67.02x = 5,083.98
  5. Step 5: Solve for x
    x = 5,083.98/67.02
  6. Step 6: Final answer
    x = 75.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.