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Finding the Fourth Proportional to 54.74, 81.93 and 42.77

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Solution

The fourth proportional to 54.74, 81.93 and 42.77 is: 64.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.74 : 81.93 = 42.77 : x
  2. Step 2: Convert to fraction form
    54.74/81.93 = 42.77/x
  3. Step 3: Cross multiply
    54.74x = 81.93 × 42.77
  4. Step 4: Simplify right side
    54.74x = 3,504.15
  5. Step 5: Solve for x
    x = 3,504.15/54.74
  6. Step 6: Final answer
    x = 64.01

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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.