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Finding the Fourth Proportional to 96.75, 145.13 and 69.62

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Solution

The fourth proportional to 96.75, 145.13 and 69.62 is: 104.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.75 : 145.13 = 69.62 : x
  2. Step 2: Convert to fraction form
    96.75/145.13 = 69.62/x
  3. Step 3: Cross multiply
    96.75x = 145.13 × 69.62
  4. Step 4: Simplify right side
    96.75x = 10,102.88
  5. Step 5: Solve for x
    x = 10,102.88/96.75
  6. Step 6: Final answer
    x = 104.42

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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.