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Finding the Fourth Proportional to 54.03, 74.61 and 47.46

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Solution

The fourth proportional to 54.03, 74.61 and 47.46 is: 65.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.03 : 74.61 = 47.46 : x
  2. Step 2: Convert to fraction form
    54.03/74.61 = 47.46/x
  3. Step 3: Cross multiply
    54.03x = 74.61 × 47.46
  4. Step 4: Simplify right side
    54.03x = 3,540.99
  5. Step 5: Solve for x
    x = 3,540.99/54.03
  6. Step 6: Final answer
    x = 65.54

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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.