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Finding the Fourth Proportional to 154.15, 212.55 and 137.54

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Solution

The fourth proportional to 154.15, 212.55 and 137.54 is: 189.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.15 : 212.55 = 137.54 : x
  2. Step 2: Convert to fraction form
    154.15/212.55 = 137.54/x
  3. Step 3: Cross multiply
    154.15x = 212.55 × 137.54
  4. Step 4: Simplify right side
    154.15x = 29,234.13
  5. Step 5: Solve for x
    x = 29,234.13/154.15
  6. Step 6: Final answer
    x = 189.65

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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.