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Finding the Fourth Proportional to 140.86, 211.07 and 72.41

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Solution

The fourth proportional to 140.86, 211.07 and 72.41 is: 108.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.86 : 211.07 = 72.41 : x
  2. Step 2: Convert to fraction form
    140.86/211.07 = 72.41/x
  3. Step 3: Cross multiply
    140.86x = 211.07 × 72.41
  4. Step 4: Simplify right side
    140.86x = 15,282.70
  5. Step 5: Solve for x
    x = 15,282.70/140.86
  6. Step 6: Final answer
    x = 108.49

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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.