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Finding the Fourth Proportional to 12.96, 19.54 and 10.97

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Solution

The fourth proportional to 12.96, 19.54 and 10.97 is: 16.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.96 : 19.54 = 10.97 : x
  2. Step 2: Convert to fraction form
    12.96/19.54 = 10.97/x
  3. Step 3: Cross multiply
    12.96x = 19.54 × 10.97
  4. Step 4: Simplify right side
    12.96x = 214.34
  5. Step 5: Solve for x
    x = 214.34/12.96
  6. Step 6: Final answer
    x = 16.54

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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.