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Finding the Fourth Proportional to 20.85, 31.27 and 18.46

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Solution

The fourth proportional to 20.85, 31.27 and 18.46 is: 27.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.85 : 31.27 = 18.46 : x
  2. Step 2: Convert to fraction form
    20.85/31.27 = 18.46/x
  3. Step 3: Cross multiply
    20.85x = 31.27 × 18.46
  4. Step 4: Simplify right side
    20.85x = 577.24
  5. Step 5: Solve for x
    x = 577.24/20.85
  6. Step 6: Final answer
    x = 27.69

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