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Finding the Fourth Proportional to 141.44, 195.05 and 130.83

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Solution

The fourth proportional to 141.44, 195.05 and 130.83 is: 180.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.44 : 195.05 = 130.83 : x
  2. Step 2: Convert to fraction form
    141.44/195.05 = 130.83/x
  3. Step 3: Cross multiply
    141.44x = 195.05 × 130.83
  4. Step 4: Simplify right side
    141.44x = 25,517.74
  5. Step 5: Solve for x
    x = 25,517.74/141.44
  6. Step 6: Final answer
    x = 180.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.