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Finding the Fourth Proportional to 54.81, 75.74 and 41.04

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Solution

The fourth proportional to 54.81, 75.74 and 41.04 is: 56.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.81 : 75.74 = 41.04 : x
  2. Step 2: Convert to fraction form
    54.81/75.74 = 41.04/x
  3. Step 3: Cross multiply
    54.81x = 75.74 × 41.04
  4. Step 4: Simplify right side
    54.81x = 3,108.16
  5. Step 5: Solve for x
    x = 3,108.16/54.81
  6. Step 6: Final answer
    x = 56.71

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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.