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Finding the Fourth Proportional to 131.18, 196.26 and 105.56

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Solution

The fourth proportional to 131.18, 196.26 and 105.56 is: 157.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.18 : 196.26 = 105.56 : x
  2. Step 2: Convert to fraction form
    131.18/196.26 = 105.56/x
  3. Step 3: Cross multiply
    131.18x = 196.26 × 105.56
  4. Step 4: Simplify right side
    131.18x = 20,716.22
  5. Step 5: Solve for x
    x = 20,716.22/131.18
  6. Step 6: Final answer
    x = 157.92

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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.