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Finding the Fourth Proportional to 16.51, 24.75 and 6.88

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Solution

The fourth proportional to 16.51, 24.75 and 6.88 is: 10.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.51 : 24.75 = 6.88 : x
  2. Step 2: Convert to fraction form
    16.51/24.75 = 6.88/x
  3. Step 3: Cross multiply
    16.51x = 24.75 × 6.88
  4. Step 4: Simplify right side
    16.51x = 170.28
  5. Step 5: Solve for x
    x = 170.28/16.51
  6. Step 6: Final answer
    x = 10.31

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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.