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Finding the Fourth Proportional to 50.72, 76.06 and 18.21

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Solution

The fourth proportional to 50.72, 76.06 and 18.21 is: 27.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.72 : 76.06 = 18.21 : x
  2. Step 2: Convert to fraction form
    50.72/76.06 = 18.21/x
  3. Step 3: Cross multiply
    50.72x = 76.06 × 18.21
  4. Step 4: Simplify right side
    50.72x = 1,385.08
  5. Step 5: Solve for x
    x = 1,385.08/50.72
  6. Step 6: Final answer
    x = 27.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.