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Finding the Fourth Proportional to 154.25, 231.09 and 77.12

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Solution

The fourth proportional to 154.25, 231.09 and 77.12 is: 115.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.25 : 231.09 = 77.12 : x
  2. Step 2: Convert to fraction form
    154.25/231.09 = 77.12/x
  3. Step 3: Cross multiply
    154.25x = 231.09 × 77.12
  4. Step 4: Simplify right side
    154.25x = 17,821.66
  5. Step 5: Solve for x
    x = 17,821.66/154.25
  6. Step 6: Final answer
    x = 115.54

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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.