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Finding the Fourth Proportional to 50.54, 69.74 and 32.14

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Solution

The fourth proportional to 50.54, 69.74 and 32.14 is: 44.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.54 : 69.74 = 32.14 : x
  2. Step 2: Convert to fraction form
    50.54/69.74 = 32.14/x
  3. Step 3: Cross multiply
    50.54x = 69.74 × 32.14
  4. Step 4: Simplify right side
    50.54x = 2,241.44
  5. Step 5: Solve for x
    x = 2,241.44/50.54
  6. Step 6: Final answer
    x = 44.35

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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.