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Finding the Fourth Proportional to 50.91, 76.37 and 16.67

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Solution

The fourth proportional to 50.91, 76.37 and 16.67 is: 25.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.91 : 76.37 = 16.67 : x
  2. Step 2: Convert to fraction form
    50.91/76.37 = 16.67/x
  3. Step 3: Cross multiply
    50.91x = 76.37 × 16.67
  4. Step 4: Simplify right side
    50.91x = 1,272.86
  5. Step 5: Solve for x
    x = 1,272.86/50.91
  6. Step 6: Final answer
    x = 25.00

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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.