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Finding the Fourth Proportional to 54.34, 81.62 and 52.22

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Solution

The fourth proportional to 54.34, 81.62 and 52.22 is: 78.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.34 : 81.62 = 52.22 : x
  2. Step 2: Convert to fraction form
    54.34/81.62 = 52.22/x
  3. Step 3: Cross multiply
    54.34x = 81.62 × 52.22
  4. Step 4: Simplify right side
    54.34x = 4,262.20
  5. Step 5: Solve for x
    x = 4,262.20/54.34
  6. Step 6: Final answer
    x = 78.44

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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.