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Finding the Fourth Proportional to 54.64, 75.06 and 44.23

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Solution

The fourth proportional to 54.64, 75.06 and 44.23 is: 60.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.64 : 75.06 = 44.23 : x
  2. Step 2: Convert to fraction form
    54.64/75.06 = 44.23/x
  3. Step 3: Cross multiply
    54.64x = 75.06 × 44.23
  4. Step 4: Simplify right side
    54.64x = 3,319.90
  5. Step 5: Solve for x
    x = 3,319.90/54.64
  6. Step 6: Final answer
    x = 60.76

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.