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Finding the Fourth Proportional to 69.74, 104.47 and 58.44

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Solution

The fourth proportional to 69.74, 104.47 and 58.44 is: 87.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.74 : 104.47 = 58.44 : x
  2. Step 2: Convert to fraction form
    69.74/104.47 = 58.44/x
  3. Step 3: Cross multiply
    69.74x = 104.47 × 58.44
  4. Step 4: Simplify right side
    69.74x = 6,105.23
  5. Step 5: Solve for x
    x = 6,105.23/69.74
  6. Step 6: Final answer
    x = 87.54

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