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Finding the Fourth Proportional to 54.74, 82.13 and 16.23

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Solution

The fourth proportional to 54.74, 82.13 and 16.23 is: 24.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.74 : 82.13 = 16.23 : x
  2. Step 2: Convert to fraction form
    54.74/82.13 = 16.23/x
  3. Step 3: Cross multiply
    54.74x = 82.13 × 16.23
  4. Step 4: Simplify right side
    54.74x = 1,333.01
  5. Step 5: Solve for x
    x = 1,333.01/54.74
  6. Step 6: Final answer
    x = 24.35

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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.