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Finding the Fourth Proportional to 16.78, 23.15 and 10.22

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Solution

The fourth proportional to 16.78, 23.15 and 10.22 is: 14.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.78 : 23.15 = 10.22 : x
  2. Step 2: Convert to fraction form
    16.78/23.15 = 10.22/x
  3. Step 3: Cross multiply
    16.78x = 23.15 × 10.22
  4. Step 4: Simplify right side
    16.78x = 236.59
  5. Step 5: Solve for x
    x = 236.59/16.78
  6. Step 6: Final answer
    x = 14.10

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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.