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Finding the Fourth Proportional to 50.54, 69.75 and 36.02

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Solution

The fourth proportional to 50.54, 69.75 and 36.02 is: 49.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.54 : 69.75 = 36.02 : x
  2. Step 2: Convert to fraction form
    50.54/69.75 = 36.02/x
  3. Step 3: Cross multiply
    50.54x = 69.75 × 36.02
  4. Step 4: Simplify right side
    50.54x = 2,512.57
  5. Step 5: Solve for x
    x = 2,512.57/50.54
  6. Step 6: Final answer
    x = 49.72

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