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Finding the Fourth Proportional to 54.94, 82.10 and 44.68

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Solution

The fourth proportional to 54.94, 82.10 and 44.68 is: 66.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.94 : 82.10 = 44.68 : x
  2. Step 2: Convert to fraction form
    54.94/82.10 = 44.68/x
  3. Step 3: Cross multiply
    54.94x = 82.10 × 44.68
  4. Step 4: Simplify right side
    54.94x = 3,668.23
  5. Step 5: Solve for x
    x = 3,668.23/54.94
  6. Step 6: Final answer
    x = 66.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.