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Finding the Fourth Proportional to 17.99, 24.78 and 16.37

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Solution

The fourth proportional to 17.99, 24.78 and 16.37 is: 22.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.99 : 24.78 = 16.37 : x
  2. Step 2: Convert to fraction form
    17.99/24.78 = 16.37/x
  3. Step 3: Cross multiply
    17.99x = 24.78 × 16.37
  4. Step 4: Simplify right side
    17.99x = 405.65
  5. Step 5: Solve for x
    x = 405.65/17.99
  6. Step 6: Final answer
    x = 22.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.