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Finding the Fourth Proportional to 20.90, 31.37 and 16.67

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Solution

The fourth proportional to 20.90, 31.37 and 16.67 is: 25.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.90 : 31.37 = 16.67 : x
  2. Step 2: Convert to fraction form
    20.90/31.37 = 16.67/x
  3. Step 3: Cross multiply
    20.90x = 31.37 × 16.67
  4. Step 4: Simplify right side
    20.90x = 522.93
  5. Step 5: Solve for x
    x = 522.93/20.90
  6. Step 6: Final answer
    x = 25.02

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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.