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Finding the Fourth Proportional to 154.57, 231.89 and 51.86

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Solution

The fourth proportional to 154.57, 231.89 and 51.86 is: 77.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.57 : 231.89 = 51.86 : x
  2. Step 2: Convert to fraction form
    154.57/231.89 = 51.86/x
  3. Step 3: Cross multiply
    154.57x = 231.89 × 51.86
  4. Step 4: Simplify right side
    154.57x = 12,026.14
  5. Step 5: Solve for x
    x = 12,026.14/154.57
  6. Step 6: Final answer
    x = 77.81

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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.