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Finding the Fourth Proportional to 69.75, 96.24 and 46.44

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Solution

The fourth proportional to 69.75, 96.24 and 46.44 is: 64.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.75 : 96.24 = 46.44 : x
  2. Step 2: Convert to fraction form
    69.75/96.24 = 46.44/x
  3. Step 3: Cross multiply
    69.75x = 96.24 × 46.44
  4. Step 4: Simplify right side
    69.75x = 4,469.39
  5. Step 5: Solve for x
    x = 4,469.39/69.75
  6. Step 6: Final answer
    x = 64.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.