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Finding the Fourth Proportional to 23.22, 31.84 and 21.64

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Solution

The fourth proportional to 23.22, 31.84 and 21.64 is: 29.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.22 : 31.84 = 21.64 : x
  2. Step 2: Convert to fraction form
    23.22/31.84 = 21.64/x
  3. Step 3: Cross multiply
    23.22x = 31.84 × 21.64
  4. Step 4: Simplify right side
    23.22x = 688.91
  5. Step 5: Solve for x
    x = 688.91/23.22
  6. Step 6: Final answer
    x = 29.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.