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Finding the Fourth Proportional to 17.23, 25.69 and 16.51

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Solution

The fourth proportional to 17.23, 25.69 and 16.51 is: 24.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.23 : 25.69 = 16.51 : x
  2. Step 2: Convert to fraction form
    17.23/25.69 = 16.51/x
  3. Step 3: Cross multiply
    17.23x = 25.69 × 16.51
  4. Step 4: Simplify right side
    17.23x = 424.14
  5. Step 5: Solve for x
    x = 424.14/17.23
  6. Step 6: Final answer
    x = 24.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.