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Finding the Fourth Proportional to 131.23, 196.21 and 112.20

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Solution

The fourth proportional to 131.23, 196.21 and 112.20 is: 167.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.23 : 196.21 = 112.20 : x
  2. Step 2: Convert to fraction form
    131.23/196.21 = 112.20/x
  3. Step 3: Cross multiply
    131.23x = 196.21 × 112.20
  4. Step 4: Simplify right side
    131.23x = 22,014.76
  5. Step 5: Solve for x
    x = 22,014.76/131.23
  6. Step 6: Final answer
    x = 167.76

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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.