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Finding the Fourth Proportional to 10.78, 16.25 and 10.19

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Solution

The fourth proportional to 10.78, 16.25 and 10.19 is: 15.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.78 : 16.25 = 10.19 : x
  2. Step 2: Convert to fraction form
    10.78/16.25 = 10.19/x
  3. Step 3: Cross multiply
    10.78x = 16.25 × 10.19
  4. Step 4: Simplify right side
    10.78x = 165.59
  5. Step 5: Solve for x
    x = 165.59/10.78
  6. Step 6: Final answer
    x = 15.36

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.