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Finding the Fourth Proportional to 54.36, 74.96 and 36.84

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Solution

The fourth proportional to 54.36, 74.96 and 36.84 is: 50.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.36 : 74.96 = 36.84 : x
  2. Step 2: Convert to fraction form
    54.36/74.96 = 36.84/x
  3. Step 3: Cross multiply
    54.36x = 74.96 × 36.84
  4. Step 4: Simplify right side
    54.36x = 2,761.53
  5. Step 5: Solve for x
    x = 2,761.53/54.36
  6. Step 6: Final answer
    x = 50.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.