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Finding the Fourth Proportional to 69.42, 104.12 and 23.14

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Solution

The fourth proportional to 69.42, 104.12 and 23.14 is: 34.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.42 : 104.12 = 23.14 : x
  2. Step 2: Convert to fraction form
    69.42/104.12 = 23.14/x
  3. Step 3: Cross multiply
    69.42x = 104.12 × 23.14
  4. Step 4: Simplify right side
    69.42x = 2,409.35
  5. Step 5: Solve for x
    x = 2,409.35/69.42
  6. Step 6: Final answer
    x = 34.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.