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Finding the Fourth Proportional to 69.89, 95.80 and 69.78

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Solution

The fourth proportional to 69.89, 95.80 and 69.78 is: 95.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.89 : 95.80 = 69.78 : x
  2. Step 2: Convert to fraction form
    69.89/95.80 = 69.78/x
  3. Step 3: Cross multiply
    69.89x = 95.80 × 69.78
  4. Step 4: Simplify right side
    69.89x = 6,684.75
  5. Step 5: Solve for x
    x = 6,684.75/69.89
  6. Step 6: Final answer
    x = 95.64

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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.