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Finding the Fourth Proportional to 131.48, 196.67 and 96.85

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Solution

The fourth proportional to 131.48, 196.67 and 96.85 is: 144.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.48 : 196.67 = 96.85 : x
  2. Step 2: Convert to fraction form
    131.48/196.67 = 96.85/x
  3. Step 3: Cross multiply
    131.48x = 196.67 × 96.85
  4. Step 4: Simplify right side
    131.48x = 19,047.49
  5. Step 5: Solve for x
    x = 19,047.49/131.48
  6. Step 6: Final answer
    x = 144.87

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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.