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Finding the Fourth Proportional to 17.95, 24.72 and 13.09

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Solution

The fourth proportional to 17.95, 24.72 and 13.09 is: 18.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.95 : 24.72 = 13.09 : x
  2. Step 2: Convert to fraction form
    17.95/24.72 = 13.09/x
  3. Step 3: Cross multiply
    17.95x = 24.72 × 13.09
  4. Step 4: Simplify right side
    17.95x = 323.58
  5. Step 5: Solve for x
    x = 323.58/17.95
  6. Step 6: Final answer
    x = 18.03

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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.