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Finding the Fourth Proportional to 69.86, 95.96 and 57.56

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Solution

The fourth proportional to 69.86, 95.96 and 57.56 is: 79.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.86 : 95.96 = 57.56 : x
  2. Step 2: Convert to fraction form
    69.86/95.96 = 57.56/x
  3. Step 3: Cross multiply
    69.86x = 95.96 × 57.56
  4. Step 4: Simplify right side
    69.86x = 5,523.12
  5. Step 5: Solve for x
    x = 5,523.12/69.86
  6. Step 6: Final answer
    x = 79.06

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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.