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Finding the Fourth Proportional to 69.50, 95.78 and 57.77

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Solution

The fourth proportional to 69.50, 95.78 and 57.77 is: 79.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.50 : 95.78 = 57.77 : x
  2. Step 2: Convert to fraction form
    69.50/95.78 = 57.77/x
  3. Step 3: Cross multiply
    69.50x = 95.78 × 57.77
  4. Step 4: Simplify right side
    69.50x = 5,532.44
  5. Step 5: Solve for x
    x = 5,532.44/69.50
  6. Step 6: Final answer
    x = 79.61

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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.