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Finding the Fourth Proportional to 45.14, 61.94 and 40.54

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Solution

The fourth proportional to 45.14, 61.94 and 40.54 is: 55.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.14 : 61.94 = 40.54 : x
  2. Step 2: Convert to fraction form
    45.14/61.94 = 40.54/x
  3. Step 3: Cross multiply
    45.14x = 61.94 × 40.54
  4. Step 4: Simplify right side
    45.14x = 2,511.05
  5. Step 5: Solve for x
    x = 2,511.05/45.14
  6. Step 6: Final answer
    x = 55.63

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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.