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Finding the Fourth Proportional to 17.46, 26.16 and 12.96

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Solution

The fourth proportional to 17.46, 26.16 and 12.96 is: 19.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.46 : 26.16 = 12.96 : x
  2. Step 2: Convert to fraction form
    17.46/26.16 = 12.96/x
  3. Step 3: Cross multiply
    17.46x = 26.16 × 12.96
  4. Step 4: Simplify right side
    17.46x = 339.03
  5. Step 5: Solve for x
    x = 339.03/17.46
  6. Step 6: Final answer
    x = 19.42

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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.