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Finding the Fourth Proportional to 96.75, 133.64 and 69.25

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Solution

The fourth proportional to 96.75, 133.64 and 69.25 is: 95.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.75 : 133.64 = 69.25 : x
  2. Step 2: Convert to fraction form
    96.75/133.64 = 69.25/x
  3. Step 3: Cross multiply
    96.75x = 133.64 × 69.25
  4. Step 4: Simplify right side
    96.75x = 9,254.57
  5. Step 5: Solve for x
    x = 9,254.57/96.75
  6. Step 6: Final answer
    x = 95.65

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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.