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Finding the Fourth Proportional to 23.58, 35.33 and 20.61

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Solution

The fourth proportional to 23.58, 35.33 and 20.61 is: 30.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.58 : 35.33 = 20.61 : x
  2. Step 2: Convert to fraction form
    23.58/35.33 = 20.61/x
  3. Step 3: Cross multiply
    23.58x = 35.33 × 20.61
  4. Step 4: Simplify right side
    23.58x = 728.05
  5. Step 5: Solve for x
    x = 728.05/23.58
  6. Step 6: Final answer
    x = 30.88

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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.