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Finding the Fourth Proportional to 69.96, 97.23 and 69.24

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Solution

The fourth proportional to 69.96, 97.23 and 69.24 is: 96.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.96 : 97.23 = 69.24 : x
  2. Step 2: Convert to fraction form
    69.96/97.23 = 69.24/x
  3. Step 3: Cross multiply
    69.96x = 97.23 × 69.24
  4. Step 4: Simplify right side
    69.96x = 6,732.21
  5. Step 5: Solve for x
    x = 6,732.21/69.96
  6. Step 6: Final answer
    x = 96.23

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.