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Finding the Fourth Proportional to 130.75, 195.43 and 107.80

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Solution

The fourth proportional to 130.75, 195.43 and 107.80 is: 161.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.75 : 195.43 = 107.80 : x
  2. Step 2: Convert to fraction form
    130.75/195.43 = 107.80/x
  3. Step 3: Cross multiply
    130.75x = 195.43 × 107.80
  4. Step 4: Simplify right side
    130.75x = 21,067.35
  5. Step 5: Solve for x
    x = 21,067.35/130.75
  6. Step 6: Final answer
    x = 161.13

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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.