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Finding the Fourth Proportional to 52.43, 71.91 and 50.88

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Solution

The fourth proportional to 52.43, 71.91 and 50.88 is: 69.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.43 : 71.91 = 50.88 : x
  2. Step 2: Convert to fraction form
    52.43/71.91 = 50.88/x
  3. Step 3: Cross multiply
    52.43x = 71.91 × 50.88
  4. Step 4: Simplify right side
    52.43x = 3,658.78
  5. Step 5: Solve for x
    x = 3,658.78/52.43
  6. Step 6: Final answer
    x = 69.79

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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.