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Finding the Fourth Proportional to 69.78, 104.49 and 52.59

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Solution

The fourth proportional to 69.78, 104.49 and 52.59 is: 78.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.78 : 104.49 = 52.59 : x
  2. Step 2: Convert to fraction form
    69.78/104.49 = 52.59/x
  3. Step 3: Cross multiply
    69.78x = 104.49 × 52.59
  4. Step 4: Simplify right side
    69.78x = 5,495.13
  5. Step 5: Solve for x
    x = 5,495.13/69.78
  6. Step 6: Final answer
    x = 78.75

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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.