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Finding the Fourth Proportional to 141.75, 212.49 and 111.24

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Solution

The fourth proportional to 141.75, 212.49 and 111.24 is: 166.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.75 : 212.49 = 111.24 : x
  2. Step 2: Convert to fraction form
    141.75/212.49 = 111.24/x
  3. Step 3: Cross multiply
    141.75x = 212.49 × 111.24
  4. Step 4: Simplify right side
    141.75x = 23,637.39
  5. Step 5: Solve for x
    x = 23,637.39/141.75
  6. Step 6: Final answer
    x = 166.75

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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.