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Finding the Fourth Proportional to 54.05, 74.34 and 43.56

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Solution

The fourth proportional to 54.05, 74.34 and 43.56 is: 59.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.05 : 74.34 = 43.56 : x
  2. Step 2: Convert to fraction form
    54.05/74.34 = 43.56/x
  3. Step 3: Cross multiply
    54.05x = 74.34 × 43.56
  4. Step 4: Simplify right side
    54.05x = 3,238.25
  5. Step 5: Solve for x
    x = 3,238.25/54.05
  6. Step 6: Final answer
    x = 59.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.