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Finding the Fourth Proportional to 54.66, 81.86 and 44.50

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Solution

The fourth proportional to 54.66, 81.86 and 44.50 is: 66.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.66 : 81.86 = 44.50 : x
  2. Step 2: Convert to fraction form
    54.66/81.86 = 44.50/x
  3. Step 3: Cross multiply
    54.66x = 81.86 × 44.50
  4. Step 4: Simplify right side
    54.66x = 3,642.77
  5. Step 5: Solve for x
    x = 3,642.77/54.66
  6. Step 6: Final answer
    x = 66.64

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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.