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Finding the Fourth Proportional to 154.22, 230.97 and 102.78

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Solution

The fourth proportional to 154.22, 230.97 and 102.78 is: 153.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.22 : 230.97 = 102.78 : x
  2. Step 2: Convert to fraction form
    154.22/230.97 = 102.78/x
  3. Step 3: Cross multiply
    154.22x = 230.97 × 102.78
  4. Step 4: Simplify right side
    154.22x = 23,739.10
  5. Step 5: Solve for x
    x = 23,739.10/154.22
  6. Step 6: Final answer
    x = 153.93

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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.