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Finding the Fourth Proportional to 54.22, 81.64 and 52.06

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Solution

The fourth proportional to 54.22, 81.64 and 52.06 is: 78.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.22 : 81.64 = 52.06 : x
  2. Step 2: Convert to fraction form
    54.22/81.64 = 52.06/x
  3. Step 3: Cross multiply
    54.22x = 81.64 × 52.06
  4. Step 4: Simplify right side
    54.22x = 4,250.18
  5. Step 5: Solve for x
    x = 4,250.18/54.22
  6. Step 6: Final answer
    x = 78.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.