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Finding the Fourth Proportional to 141.78, 213.63 and 116.66

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Solution

The fourth proportional to 141.78, 213.63 and 116.66 is: 175.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.78 : 213.63 = 116.66 : x
  2. Step 2: Convert to fraction form
    141.78/213.63 = 116.66/x
  3. Step 3: Cross multiply
    141.78x = 213.63 × 116.66
  4. Step 4: Simplify right side
    141.78x = 24,922.83
  5. Step 5: Solve for x
    x = 24,922.83/141.78
  6. Step 6: Final answer
    x = 175.79

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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.