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Finding the Fourth Proportional to 54.77, 82.16 and 32.11

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Solution

The fourth proportional to 54.77, 82.16 and 32.11 is: 48.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.77 : 82.16 = 32.11 : x
  2. Step 2: Convert to fraction form
    54.77/82.16 = 32.11/x
  3. Step 3: Cross multiply
    54.77x = 82.16 × 32.11
  4. Step 4: Simplify right side
    54.77x = 2,637.59
  5. Step 5: Solve for x
    x = 2,637.59/54.77
  6. Step 6: Final answer
    x = 48.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.