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Finding the Fourth Proportional to 69.84, 104.78 and 24.22

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Solution

The fourth proportional to 69.84, 104.78 and 24.22 is: 36.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.84 : 104.78 = 24.22 : x
  2. Step 2: Convert to fraction form
    69.84/104.78 = 24.22/x
  3. Step 3: Cross multiply
    69.84x = 104.78 × 24.22
  4. Step 4: Simplify right side
    69.84x = 2,537.77
  5. Step 5: Solve for x
    x = 2,537.77/69.84
  6. Step 6: Final answer
    x = 36.34

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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.