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Finding the Fourth Proportional to 69.89, 95.88 and 67.84

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Solution

The fourth proportional to 69.89, 95.88 and 67.84 is: 93.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.89 : 95.88 = 67.84 : x
  2. Step 2: Convert to fraction form
    69.89/95.88 = 67.84/x
  3. Step 3: Cross multiply
    69.89x = 95.88 × 67.84
  4. Step 4: Simplify right side
    69.89x = 6,504.50
  5. Step 5: Solve for x
    x = 6,504.50/69.89
  6. Step 6: Final answer
    x = 93.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.