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Finding the Fourth Proportional to 54.66, 81.98 and 30.60

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Solution

The fourth proportional to 54.66, 81.98 and 30.60 is: 45.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.66 : 81.98 = 30.60 : x
  2. Step 2: Convert to fraction form
    54.66/81.98 = 30.60/x
  3. Step 3: Cross multiply
    54.66x = 81.98 × 30.60
  4. Step 4: Simplify right side
    54.66x = 2,508.59
  5. Step 5: Solve for x
    x = 2,508.59/54.66
  6. Step 6: Final answer
    x = 45.89

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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.