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Finding the Fourth Proportional to 131.18, 196.50 and 82.32

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Solution

The fourth proportional to 131.18, 196.50 and 82.32 is: 123.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.18 : 196.50 = 82.32 : x
  2. Step 2: Convert to fraction form
    131.18/196.50 = 82.32/x
  3. Step 3: Cross multiply
    131.18x = 196.50 × 82.32
  4. Step 4: Simplify right side
    131.18x = 16,175.88
  5. Step 5: Solve for x
    x = 16,175.88/131.18
  6. Step 6: Final answer
    x = 123.31

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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.