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Finding the Fourth Proportional to 131.56, 197.52 and 77.52

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Solution

The fourth proportional to 131.56, 197.52 and 77.52 is: 116.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.56 : 197.52 = 77.52 : x
  2. Step 2: Convert to fraction form
    131.56/197.52 = 77.52/x
  3. Step 3: Cross multiply
    131.56x = 197.52 × 77.52
  4. Step 4: Simplify right side
    131.56x = 15,311.75
  5. Step 5: Solve for x
    x = 15,311.75/131.56
  6. Step 6: Final answer
    x = 116.39

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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.