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Finding the Fourth Proportional to 151.32, 227.27 and 90.83

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Solution

The fourth proportional to 151.32, 227.27 and 90.83 is: 136.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.32 : 227.27 = 90.83 : x
  2. Step 2: Convert to fraction form
    151.32/227.27 = 90.83/x
  3. Step 3: Cross multiply
    151.32x = 227.27 × 90.83
  4. Step 4: Simplify right side
    151.32x = 20,641.77
  5. Step 5: Solve for x
    x = 20,641.77/151.32
  6. Step 6: Final answer
    x = 136.41

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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.