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Finding the Fourth Proportional to 131.14, 195.80 and 110.44

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Solution

The fourth proportional to 131.14, 195.80 and 110.44 is: 164.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.14 : 195.80 = 110.44 : x
  2. Step 2: Convert to fraction form
    131.14/195.80 = 110.44/x
  3. Step 3: Cross multiply
    131.14x = 195.80 × 110.44
  4. Step 4: Simplify right side
    131.14x = 21,624.15
  5. Step 5: Solve for x
    x = 21,624.15/131.14
  6. Step 6: Final answer
    x = 164.89

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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.