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Finding the Fourth Proportional to 69.74, 104.45 and 35.46

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Solution

The fourth proportional to 69.74, 104.45 and 35.46 is: 53.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.74 : 104.45 = 35.46 : x
  2. Step 2: Convert to fraction form
    69.74/104.45 = 35.46/x
  3. Step 3: Cross multiply
    69.74x = 104.45 × 35.46
  4. Step 4: Simplify right side
    69.74x = 3,703.62
  5. Step 5: Solve for x
    x = 3,703.62/69.74
  6. Step 6: Final answer
    x = 53.10

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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.