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Finding the Fourth Proportional to 67.06, 92.94 and 65.85

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Solution

The fourth proportional to 67.06, 92.94 and 65.85 is: 91.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.06 : 92.94 = 65.85 : x
  2. Step 2: Convert to fraction form
    67.06/92.94 = 65.85/x
  3. Step 3: Cross multiply
    67.06x = 92.94 × 65.85
  4. Step 4: Simplify right side
    67.06x = 6,119.87
  5. Step 5: Solve for x
    x = 6,119.87/67.06
  6. Step 6: Final answer
    x = 91.26

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.