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Finding the Fourth Proportional to 151.12, 226.42 and 53.56

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Solution

The fourth proportional to 151.12, 226.42 and 53.56 is: 80.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.12 : 226.42 = 53.56 : x
  2. Step 2: Convert to fraction form
    151.12/226.42 = 53.56/x
  3. Step 3: Cross multiply
    151.12x = 226.42 × 53.56
  4. Step 4: Simplify right side
    151.12x = 12,127.06
  5. Step 5: Solve for x
    x = 12,127.06/151.12
  6. Step 6: Final answer
    x = 80.25

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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.