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Finding the Fourth Proportional to 51.90, 71.52 and 50.22

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Solution

The fourth proportional to 51.90, 71.52 and 50.22 is: 69.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.90 : 71.52 = 50.22 : x
  2. Step 2: Convert to fraction form
    51.90/71.52 = 50.22/x
  3. Step 3: Cross multiply
    51.90x = 71.52 × 50.22
  4. Step 4: Simplify right side
    51.90x = 3,591.73
  5. Step 5: Solve for x
    x = 3,591.73/51.90
  6. Step 6: Final answer
    x = 69.20

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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.