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Finding the Fourth Proportional to 23.06, 31.84 and 22.09

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Solution

The fourth proportional to 23.06, 31.84 and 22.09 is: 30.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.06 : 31.84 = 22.09 : x
  2. Step 2: Convert to fraction form
    23.06/31.84 = 22.09/x
  3. Step 3: Cross multiply
    23.06x = 31.84 × 22.09
  4. Step 4: Simplify right side
    23.06x = 703.24
  5. Step 5: Solve for x
    x = 703.24/23.06
  6. Step 6: Final answer
    x = 30.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.