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Finding the Fourth Proportional to 69.65, 96.09 and 42

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Solution

The fourth proportional to 69.65, 96.09 and 42 is: 57.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.65 : 96.09 = 42 : x
  2. Step 2: Convert to fraction form
    69.65/96.09 = 42/x
  3. Step 3: Cross multiply
    69.65x = 96.09 × 42
  4. Step 4: Simplify right side
    69.65x = 4,035.78
  5. Step 5: Solve for x
    x = 4,035.78/69.65
  6. Step 6: Final answer
    x = 57.95

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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.