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Finding the Fourth Proportional to 131.18, 196.57 and 82.31

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Solution

The fourth proportional to 131.18, 196.57 and 82.31 is: 123.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.18 : 196.57 = 82.31 : x
  2. Step 2: Convert to fraction form
    131.18/196.57 = 82.31/x
  3. Step 3: Cross multiply
    131.18x = 196.57 × 82.31
  4. Step 4: Simplify right side
    131.18x = 16,180.28
  5. Step 5: Solve for x
    x = 16,180.28/131.18
  6. Step 6: Final answer
    x = 123.35

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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.