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Finding the Fourth Proportional to 54.77, 82.10 and 41.21

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Solution

The fourth proportional to 54.77, 82.10 and 41.21 is: 61.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.77 : 82.10 = 41.21 : x
  2. Step 2: Convert to fraction form
    54.77/82.10 = 41.21/x
  3. Step 3: Cross multiply
    54.77x = 82.10 × 41.21
  4. Step 4: Simplify right side
    54.77x = 3,382.72
  5. Step 5: Solve for x
    x = 3,382.72/54.77
  6. Step 6: Final answer
    x = 61.77

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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.