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Finding the Fourth Proportional to 23.08, 34.57 and 14.04

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Solution

The fourth proportional to 23.08, 34.57 and 14.04 is: 21.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.08 : 34.57 = 14.04 : x
  2. Step 2: Convert to fraction form
    23.08/34.57 = 14.04/x
  3. Step 3: Cross multiply
    23.08x = 34.57 × 14.04
  4. Step 4: Simplify right side
    23.08x = 485.36
  5. Step 5: Solve for x
    x = 485.36/23.08
  6. Step 6: Final answer
    x = 21.03

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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.