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Finding the Fourth Proportional to 154.92, 213.72 and 105.78

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Solution

The fourth proportional to 154.92, 213.72 and 105.78 is: 145.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.92 : 213.72 = 105.78 : x
  2. Step 2: Convert to fraction form
    154.92/213.72 = 105.78/x
  3. Step 3: Cross multiply
    154.92x = 213.72 × 105.78
  4. Step 4: Simplify right side
    154.92x = 22,607.30
  5. Step 5: Solve for x
    x = 22,607.30/154.92
  6. Step 6: Final answer
    x = 145.93

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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.