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Finding the Fourth Proportional to 54.19, 74.73 and 35.73

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Solution

The fourth proportional to 54.19, 74.73 and 35.73 is: 49.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.19 : 74.73 = 35.73 : x
  2. Step 2: Convert to fraction form
    54.19/74.73 = 35.73/x
  3. Step 3: Cross multiply
    54.19x = 74.73 × 35.73
  4. Step 4: Simplify right side
    54.19x = 2,670.35
  5. Step 5: Solve for x
    x = 2,670.35/54.19
  6. Step 6: Final answer
    x = 49.28

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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.