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Finding the Fourth Proportional to 54.93, 75.75 and 36.50

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Solution

The fourth proportional to 54.93, 75.75 and 36.50 is: 50.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.93 : 75.75 = 36.50 : x
  2. Step 2: Convert to fraction form
    54.93/75.75 = 36.50/x
  3. Step 3: Cross multiply
    54.93x = 75.75 × 36.50
  4. Step 4: Simplify right side
    54.93x = 2,764.88
  5. Step 5: Solve for x
    x = 2,764.88/54.93
  6. Step 6: Final answer
    x = 50.33

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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.