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Finding the Fourth Proportional to 17.65, 24.25 and 16.99

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Solution

The fourth proportional to 17.65, 24.25 and 16.99 is: 23.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.65 : 24.25 = 16.99 : x
  2. Step 2: Convert to fraction form
    17.65/24.25 = 16.99/x
  3. Step 3: Cross multiply
    17.65x = 24.25 × 16.99
  4. Step 4: Simplify right side
    17.65x = 412.01
  5. Step 5: Solve for x
    x = 412.01/17.65
  6. Step 6: Final answer
    x = 23.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.