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Finding the Fourth Proportional to 23.10, 34.68 and 22.04

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Solution

The fourth proportional to 23.10, 34.68 and 22.04 is: 33.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.10 : 34.68 = 22.04 : x
  2. Step 2: Convert to fraction form
    23.10/34.68 = 22.04/x
  3. Step 3: Cross multiply
    23.10x = 34.68 × 22.04
  4. Step 4: Simplify right side
    23.10x = 764.17
  5. Step 5: Solve for x
    x = 764.17/23.10
  6. Step 6: Final answer
    x = 33.08

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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.