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Finding the Fourth Proportional to 54.55, 74.65 and 50.77

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Solution

The fourth proportional to 54.55, 74.65 and 50.77 is: 69.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.55 : 74.65 = 50.77 : x
  2. Step 2: Convert to fraction form
    54.55/74.65 = 50.77/x
  3. Step 3: Cross multiply
    54.55x = 74.65 × 50.77
  4. Step 4: Simplify right side
    54.55x = 3,789.98
  5. Step 5: Solve for x
    x = 3,789.98/54.55
  6. Step 6: Final answer
    x = 69.48

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.