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Finding the Fourth Proportional to 54.45, 82.13 and 50.58

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Solution

The fourth proportional to 54.45, 82.13 and 50.58 is: 76.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.45 : 82.13 = 50.58 : x
  2. Step 2: Convert to fraction form
    54.45/82.13 = 50.58/x
  3. Step 3: Cross multiply
    54.45x = 82.13 × 50.58
  4. Step 4: Simplify right side
    54.45x = 4,153.88
  5. Step 5: Solve for x
    x = 4,153.88/54.45
  6. Step 6: Final answer
    x = 76.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.