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Finding the Fourth Proportional to 15.46, 23.22 and 10.39

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Solution

The fourth proportional to 15.46, 23.22 and 10.39 is: 15.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.46 : 23.22 = 10.39 : x
  2. Step 2: Convert to fraction form
    15.46/23.22 = 10.39/x
  3. Step 3: Cross multiply
    15.46x = 23.22 × 10.39
  4. Step 4: Simplify right side
    15.46x = 241.26
  5. Step 5: Solve for x
    x = 241.26/15.46
  6. Step 6: Final answer
    x = 15.61

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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.