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Finding the Fourth Proportional to 131.42, 197.09 and 50.19

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Solution

The fourth proportional to 131.42, 197.09 and 50.19 is: 75.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.42 : 197.09 = 50.19 : x
  2. Step 2: Convert to fraction form
    131.42/197.09 = 50.19/x
  3. Step 3: Cross multiply
    131.42x = 197.09 × 50.19
  4. Step 4: Simplify right side
    131.42x = 9,891.70
  5. Step 5: Solve for x
    x = 9,891.70/131.42
  6. Step 6: Final answer
    x = 75.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.