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Finding the Fourth Proportional to 17.72, 24.33 and 17.08

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Solution

The fourth proportional to 17.72, 24.33 and 17.08 is: 23.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.72 : 24.33 = 17.08 : x
  2. Step 2: Convert to fraction form
    17.72/24.33 = 17.08/x
  3. Step 3: Cross multiply
    17.72x = 24.33 × 17.08
  4. Step 4: Simplify right side
    17.72x = 415.56
  5. Step 5: Solve for x
    x = 415.56/17.72
  6. Step 6: Final answer
    x = 23.45

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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.