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Finding the Fourth Proportional to 69.75, 96.12 and 53.42

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Solution

The fourth proportional to 69.75, 96.12 and 53.42 is: 73.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.75 : 96.12 = 53.42 : x
  2. Step 2: Convert to fraction form
    69.75/96.12 = 53.42/x
  3. Step 3: Cross multiply
    69.75x = 96.12 × 53.42
  4. Step 4: Simplify right side
    69.75x = 5,134.25
  5. Step 5: Solve for x
    x = 5,134.25/69.75
  6. Step 6: Final answer
    x = 73.61

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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.