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Finding the Fourth Proportional to 151.68, 227.54 and 70.55

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Solution

The fourth proportional to 151.68, 227.54 and 70.55 is: 105.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.68 : 227.54 = 70.55 : x
  2. Step 2: Convert to fraction form
    151.68/227.54 = 70.55/x
  3. Step 3: Cross multiply
    151.68x = 227.54 × 70.55
  4. Step 4: Simplify right side
    151.68x = 16,052.95
  5. Step 5: Solve for x
    x = 16,052.95/151.68
  6. Step 6: Final answer
    x = 105.83

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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.