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Finding the Fourth Proportional to 23.09, 31.89 and 17.67

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Solution

The fourth proportional to 23.09, 31.89 and 17.67 is: 24.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.09 : 31.89 = 17.67 : x
  2. Step 2: Convert to fraction form
    23.09/31.89 = 17.67/x
  3. Step 3: Cross multiply
    23.09x = 31.89 × 17.67
  4. Step 4: Simplify right side
    23.09x = 563.50
  5. Step 5: Solve for x
    x = 563.50/23.09
  6. Step 6: Final answer
    x = 24.41

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