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Finding the Fourth Proportional to 141.13, 211.82 and 77.05

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Solution

The fourth proportional to 141.13, 211.82 and 77.05 is: 115.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.13 : 211.82 = 77.05 : x
  2. Step 2: Convert to fraction form
    141.13/211.82 = 77.05/x
  3. Step 3: Cross multiply
    141.13x = 211.82 × 77.05
  4. Step 4: Simplify right side
    141.13x = 16,320.73
  5. Step 5: Solve for x
    x = 16,320.73/141.13
  6. Step 6: Final answer
    x = 115.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.