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Finding the Fourth Proportional to 69.78, 104.64 and 24.13

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Solution

The fourth proportional to 69.78, 104.64 and 24.13 is: 36.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.78 : 104.64 = 24.13 : x
  2. Step 2: Convert to fraction form
    69.78/104.64 = 24.13/x
  3. Step 3: Cross multiply
    69.78x = 104.64 × 24.13
  4. Step 4: Simplify right side
    69.78x = 2,524.96
  5. Step 5: Solve for x
    x = 2,524.96/69.78
  6. Step 6: Final answer
    x = 36.19

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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.