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Finding the Fourth Proportional to 69.46, 104.21 and 32.42

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Solution

The fourth proportional to 69.46, 104.21 and 32.42 is: 48.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.46 : 104.21 = 32.42 : x
  2. Step 2: Convert to fraction form
    69.46/104.21 = 32.42/x
  3. Step 3: Cross multiply
    69.46x = 104.21 × 32.42
  4. Step 4: Simplify right side
    69.46x = 3,378.49
  5. Step 5: Solve for x
    x = 3,378.49/69.46
  6. Step 6: Final answer
    x = 48.64

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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.