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Finding the Fourth Proportional to 27.22, 40.80 and 20.46

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Solution

The fourth proportional to 27.22, 40.80 and 20.46 is: 30.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.22 : 40.80 = 20.46 : x
  2. Step 2: Convert to fraction form
    27.22/40.80 = 20.46/x
  3. Step 3: Cross multiply
    27.22x = 40.80 × 20.46
  4. Step 4: Simplify right side
    27.22x = 834.77
  5. Step 5: Solve for x
    x = 834.77/27.22
  6. Step 6: Final answer
    x = 30.67

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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.