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Finding the Fourth Proportional to 131.78, 197.56 and 50.56

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Solution

The fourth proportional to 131.78, 197.56 and 50.56 is: 75.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.78 : 197.56 = 50.56 : x
  2. Step 2: Convert to fraction form
    131.78/197.56 = 50.56/x
  3. Step 3: Cross multiply
    131.78x = 197.56 × 50.56
  4. Step 4: Simplify right side
    131.78x = 9,988.63
  5. Step 5: Solve for x
    x = 9,988.63/131.78
  6. Step 6: Final answer
    x = 75.80

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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.