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Finding the Fourth Proportional to 141.41, 211.84 and 112.57

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Solution

The fourth proportional to 141.41, 211.84 and 112.57 is: 168.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.41 : 211.84 = 112.57 : x
  2. Step 2: Convert to fraction form
    141.41/211.84 = 112.57/x
  3. Step 3: Cross multiply
    141.41x = 211.84 × 112.57
  4. Step 4: Simplify right side
    141.41x = 23,846.27
  5. Step 5: Solve for x
    x = 23,846.27/141.41
  6. Step 6: Final answer
    x = 168.63

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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.