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Finding the Fourth Proportional to 54.64, 82.05 and 54.22

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Solution

The fourth proportional to 54.64, 82.05 and 54.22 is: 81.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.64 : 82.05 = 54.22 : x
  2. Step 2: Convert to fraction form
    54.64/82.05 = 54.22/x
  3. Step 3: Cross multiply
    54.64x = 82.05 × 54.22
  4. Step 4: Simplify right side
    54.64x = 4,448.75
  5. Step 5: Solve for x
    x = 4,448.75/54.64
  6. Step 6: Final answer
    x = 81.42

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Why These Related Problems?

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