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Finding the Fourth Proportional to 41.36, 56.62 and 40.14

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Solution

The fourth proportional to 41.36, 56.62 and 40.14 is: 54.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.36 : 56.62 = 40.14 : x
  2. Step 2: Convert to fraction form
    41.36/56.62 = 40.14/x
  3. Step 3: Cross multiply
    41.36x = 56.62 × 40.14
  4. Step 4: Simplify right side
    41.36x = 2,272.73
  5. Step 5: Solve for x
    x = 2,272.73/41.36
  6. Step 6: Final answer
    x = 54.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.