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Finding the Fourth Proportional to 17.10, 23.52 and 12.78

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Solution

The fourth proportional to 17.10, 23.52 and 12.78 is: 17.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.10 : 23.52 = 12.78 : x
  2. Step 2: Convert to fraction form
    17.10/23.52 = 12.78/x
  3. Step 3: Cross multiply
    17.10x = 23.52 × 12.78
  4. Step 4: Simplify right side
    17.10x = 300.59
  5. Step 5: Solve for x
    x = 300.59/17.10
  6. Step 6: Final answer
    x = 17.58

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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.