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Finding the Fourth Proportional to 69.08, 95.24 and 50.64

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Solution

The fourth proportional to 69.08, 95.24 and 50.64 is: 69.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.08 : 95.24 = 50.64 : x
  2. Step 2: Convert to fraction form
    69.08/95.24 = 50.64/x
  3. Step 3: Cross multiply
    69.08x = 95.24 × 50.64
  4. Step 4: Simplify right side
    69.08x = 4,822.70
  5. Step 5: Solve for x
    x = 4,822.70/69.08
  6. Step 6: Final answer
    x = 69.82

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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.