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Finding the Fourth Proportional to 69.75, 95.82 and 65.30

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Solution

The fourth proportional to 69.75, 95.82 and 65.30 is: 89.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.75 : 95.82 = 65.30 : x
  2. Step 2: Convert to fraction form
    69.75/95.82 = 65.30/x
  3. Step 3: Cross multiply
    69.75x = 95.82 × 65.30
  4. Step 4: Simplify right side
    69.75x = 6,256.57
  5. Step 5: Solve for x
    x = 6,256.57/69.75
  6. Step 6: Final answer
    x = 89.70

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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.