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Finding the Fourth Proportional to 67.95, 93.86 and 65.85

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Solution

The fourth proportional to 67.95, 93.86 and 65.85 is: 90.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.95 : 93.86 = 65.85 : x
  2. Step 2: Convert to fraction form
    67.95/93.86 = 65.85/x
  3. Step 3: Cross multiply
    67.95x = 93.86 × 65.85
  4. Step 4: Simplify right side
    67.95x = 6,180.68
  5. Step 5: Solve for x
    x = 6,180.68/67.95
  6. Step 6: Final answer
    x = 90.96

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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.