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Finding the Fourth Proportional to 69.23, 95.50 and 49.84

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Solution

The fourth proportional to 69.23, 95.50 and 49.84 is: 68.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.23 : 95.50 = 49.84 : x
  2. Step 2: Convert to fraction form
    69.23/95.50 = 49.84/x
  3. Step 3: Cross multiply
    69.23x = 95.50 × 49.84
  4. Step 4: Simplify right side
    69.23x = 4,759.72
  5. Step 5: Solve for x
    x = 4,759.72/69.23
  6. Step 6: Final answer
    x = 68.75

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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.