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Finding the Fourth Proportional to 10.97, 16.43 and 8.25

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Solution

The fourth proportional to 10.97, 16.43 and 8.25 is: 12.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.97 : 16.43 = 8.25 : x
  2. Step 2: Convert to fraction form
    10.97/16.43 = 8.25/x
  3. Step 3: Cross multiply
    10.97x = 16.43 × 8.25
  4. Step 4: Simplify right side
    10.97x = 135.51
  5. Step 5: Solve for x
    x = 135.51/10.97
  6. Step 6: Final answer
    x = 12.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.