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Finding the Fourth Proportional to 69.60, 104.34 and 26.82

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Solution

The fourth proportional to 69.60, 104.34 and 26.82 is: 40.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.60 : 104.34 = 26.82 : x
  2. Step 2: Convert to fraction form
    69.60/104.34 = 26.82/x
  3. Step 3: Cross multiply
    69.60x = 104.34 × 26.82
  4. Step 4: Simplify right side
    69.60x = 2,798.40
  5. Step 5: Solve for x
    x = 2,798.40/69.60
  6. Step 6: Final answer
    x = 40.21

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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.