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Finding the Fourth Proportional to 154.59, 213.21 and 137.12

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Solution

The fourth proportional to 154.59, 213.21 and 137.12 is: 189.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.59 : 213.21 = 137.12 : x
  2. Step 2: Convert to fraction form
    154.59/213.21 = 137.12/x
  3. Step 3: Cross multiply
    154.59x = 213.21 × 137.12
  4. Step 4: Simplify right side
    154.59x = 29,234.29
  5. Step 5: Solve for x
    x = 29,234.29/154.59
  6. Step 6: Final answer
    x = 189.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.