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Finding the Fourth Proportional to 70.59, 96.72 and 69.96

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Solution

The fourth proportional to 70.59, 96.72 and 69.96 is: 95.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.59 : 96.72 = 69.96 : x
  2. Step 2: Convert to fraction form
    70.59/96.72 = 69.96/x
  3. Step 3: Cross multiply
    70.59x = 96.72 × 69.96
  4. Step 4: Simplify right side
    70.59x = 6,766.53
  5. Step 5: Solve for x
    x = 6,766.53/70.59
  6. Step 6: Final answer
    x = 95.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.