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Finding the Fourth Proportional to 151.12, 226.36 and 108.24

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Solution

The fourth proportional to 151.12, 226.36 and 108.24 is: 162.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.12 : 226.36 = 108.24 : x
  2. Step 2: Convert to fraction form
    151.12/226.36 = 108.24/x
  3. Step 3: Cross multiply
    151.12x = 226.36 × 108.24
  4. Step 4: Simplify right side
    151.12x = 24,501.21
  5. Step 5: Solve for x
    x = 24,501.21/151.12
  6. Step 6: Final answer
    x = 162.13

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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.