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Finding the Fourth Proportional to 151.24, 226.44 and 105.08

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Solution

The fourth proportional to 151.24, 226.44 and 105.08 is: 157.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.24 : 226.44 = 105.08 : x
  2. Step 2: Convert to fraction form
    151.24/226.44 = 105.08/x
  3. Step 3: Cross multiply
    151.24x = 226.44 × 105.08
  4. Step 4: Simplify right side
    151.24x = 23,794.32
  5. Step 5: Solve for x
    x = 23,794.32/151.24
  6. Step 6: Final answer
    x = 157.33

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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.