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Finding the Fourth Proportional to 141.69, 195.64 and 106.78

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Solution

The fourth proportional to 141.69, 195.64 and 106.78 is: 147.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.69 : 195.64 = 106.78 : x
  2. Step 2: Convert to fraction form
    141.69/195.64 = 106.78/x
  3. Step 3: Cross multiply
    141.69x = 195.64 × 106.78
  4. Step 4: Simplify right side
    141.69x = 20,890.44
  5. Step 5: Solve for x
    x = 20,890.44/141.69
  6. Step 6: Final answer
    x = 147.44

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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.