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Finding the Fourth Proportional to 12.45, 18.62 and 10.78

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Solution

The fourth proportional to 12.45, 18.62 and 10.78 is: 16.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.45 : 18.62 = 10.78 : x
  2. Step 2: Convert to fraction form
    12.45/18.62 = 10.78/x
  3. Step 3: Cross multiply
    12.45x = 18.62 × 10.78
  4. Step 4: Simplify right side
    12.45x = 200.70
  5. Step 5: Solve for x
    x = 200.70/12.45
  6. Step 6: Final answer
    x = 16.13

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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.