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Finding the Fourth Proportional to 140.86, 211.15 and 89.36

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Solution

The fourth proportional to 140.86, 211.15 and 89.36 is: 133.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.86 : 211.15 = 89.36 : x
  2. Step 2: Convert to fraction form
    140.86/211.15 = 89.36/x
  3. Step 3: Cross multiply
    140.86x = 211.15 × 89.36
  4. Step 4: Simplify right side
    140.86x = 18,867.42
  5. Step 5: Solve for x
    x = 18,867.42/140.86
  6. Step 6: Final answer
    x = 133.95

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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.