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Finding the Fourth Proportional to 57.22, 79.40 and 54.94

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Solution

The fourth proportional to 57.22, 79.40 and 54.94 is: 76.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.22 : 79.40 = 54.94 : x
  2. Step 2: Convert to fraction form
    57.22/79.40 = 54.94/x
  3. Step 3: Cross multiply
    57.22x = 79.40 × 54.94
  4. Step 4: Simplify right side
    57.22x = 4,361.56
  5. Step 5: Solve for x
    x = 4,361.56/57.22
  6. Step 6: Final answer
    x = 76.22

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.