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Finding the Fourth Proportional to 69.88, 96.12 and 69.42

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Solution

The fourth proportional to 69.88, 96.12 and 69.42 is: 95.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.88 : 96.12 = 69.42 : x
  2. Step 2: Convert to fraction form
    69.88/96.12 = 69.42/x
  3. Step 3: Cross multiply
    69.88x = 96.12 × 69.42
  4. Step 4: Simplify right side
    69.88x = 6,672.65
  5. Step 5: Solve for x
    x = 6,672.65/69.88
  6. Step 6: Final answer
    x = 95.49

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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.