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Finding the Fourth Proportional to 54.95, 75.77 and 41.11

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Solution

The fourth proportional to 54.95, 75.77 and 41.11 is: 56.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.95 : 75.77 = 41.11 : x
  2. Step 2: Convert to fraction form
    54.95/75.77 = 41.11/x
  3. Step 3: Cross multiply
    54.95x = 75.77 × 41.11
  4. Step 4: Simplify right side
    54.95x = 3,114.66
  5. Step 5: Solve for x
    x = 3,114.66/54.95
  6. Step 6: Final answer
    x = 56.69

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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.