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Finding the Fourth Proportional to 131.52, 196.94 and 85.96

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Solution

The fourth proportional to 131.52, 196.94 and 85.96 is: 128.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.52 : 196.94 = 85.96 : x
  2. Step 2: Convert to fraction form
    131.52/196.94 = 85.96/x
  3. Step 3: Cross multiply
    131.52x = 196.94 × 85.96
  4. Step 4: Simplify right side
    131.52x = 16,928.96
  5. Step 5: Solve for x
    x = 16,928.96/131.52
  6. Step 6: Final answer
    x = 128.72

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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.