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Finding the Fourth Proportional to 155.08, 213.94 and 105.88

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Solution

The fourth proportional to 155.08, 213.94 and 105.88 is: 146.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.08 : 213.94 = 105.88 : x
  2. Step 2: Convert to fraction form
    155.08/213.94 = 105.88/x
  3. Step 3: Cross multiply
    155.08x = 213.94 × 105.88
  4. Step 4: Simplify right side
    155.08x = 22,651.97
  5. Step 5: Solve for x
    x = 22,651.97/155.08
  6. Step 6: Final answer
    x = 146.07

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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.