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Finding the Fourth Proportional to 131.86, 196.55 and 131.05

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Solution

The fourth proportional to 131.86, 196.55 and 131.05 is: 195.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.86 : 196.55 = 131.05 : x
  2. Step 2: Convert to fraction form
    131.86/196.55 = 131.05/x
  3. Step 3: Cross multiply
    131.86x = 196.55 × 131.05
  4. Step 4: Simplify right side
    131.86x = 25,757.88
  5. Step 5: Solve for x
    x = 25,757.88/131.86
  6. Step 6: Final answer
    x = 195.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.