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Finding the Fourth Proportional to 16.73, 25.09 and 7.10

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Solution

The fourth proportional to 16.73, 25.09 and 7.10 is: 10.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.73 : 25.09 = 7.10 : x
  2. Step 2: Convert to fraction form
    16.73/25.09 = 7.10/x
  3. Step 3: Cross multiply
    16.73x = 25.09 × 7.10
  4. Step 4: Simplify right side
    16.73x = 178.01
  5. Step 5: Solve for x
    x = 178.01/16.73
  6. Step 6: Final answer
    x = 10.64

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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.