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Finding the Fourth Proportional to 54.54, 81.70 and 46.46

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Solution

The fourth proportional to 54.54, 81.70 and 46.46 is: 69.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.54 : 81.70 = 46.46 : x
  2. Step 2: Convert to fraction form
    54.54/81.70 = 46.46/x
  3. Step 3: Cross multiply
    54.54x = 81.70 × 46.46
  4. Step 4: Simplify right side
    54.54x = 3,795.26
  5. Step 5: Solve for x
    x = 3,795.26/54.54
  6. Step 6: Final answer
    x = 69.59

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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.