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Finding the Fourth Proportional to 69.74, 104.70 and 35.52

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Solution

The fourth proportional to 69.74, 104.70 and 35.52 is: 53.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.74 : 104.70 = 35.52 : x
  2. Step 2: Convert to fraction form
    69.74/104.70 = 35.52/x
  3. Step 3: Cross multiply
    69.74x = 104.70 × 35.52
  4. Step 4: Simplify right side
    69.74x = 3,719.47
  5. Step 5: Solve for x
    x = 3,719.47/69.74
  6. Step 6: Final answer
    x = 53.33

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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.