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Finding the Fourth Proportional to 141.68, 213.62 and 129.68

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Solution

The fourth proportional to 141.68, 213.62 and 129.68 is: 195.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.68 : 213.62 = 129.68 : x
  2. Step 2: Convert to fraction form
    141.68/213.62 = 129.68/x
  3. Step 3: Cross multiply
    141.68x = 213.62 × 129.68
  4. Step 4: Simplify right side
    141.68x = 27,702.24
  5. Step 5: Solve for x
    x = 27,702.24/141.68
  6. Step 6: Final answer
    x = 195.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.