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Finding the Fourth Proportional to 54.75, 75.56 and 30.19

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Solution

The fourth proportional to 54.75, 75.56 and 30.19 is: 41.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.75 : 75.56 = 30.19 : x
  2. Step 2: Convert to fraction form
    54.75/75.56 = 30.19/x
  3. Step 3: Cross multiply
    54.75x = 75.56 × 30.19
  4. Step 4: Simplify right side
    54.75x = 2,281.10
  5. Step 5: Solve for x
    x = 2,281.10/54.75
  6. Step 6: Final answer
    x = 41.66

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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.