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Finding the Fourth Proportional to 151.57, 227.47 and 54.07

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Solution

The fourth proportional to 151.57, 227.47 and 54.07 is: 81.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.57 : 227.47 = 54.07 : x
  2. Step 2: Convert to fraction form
    151.57/227.47 = 54.07/x
  3. Step 3: Cross multiply
    151.57x = 227.47 × 54.07
  4. Step 4: Simplify right side
    151.57x = 12,299.45
  5. Step 5: Solve for x
    x = 12,299.45/151.57
  6. Step 6: Final answer
    x = 81.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.