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Finding the Fourth Proportional to 17.94, 24.78 and 13.08

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Solution

The fourth proportional to 17.94, 24.78 and 13.08 is: 18.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.94 : 24.78 = 13.08 : x
  2. Step 2: Convert to fraction form
    17.94/24.78 = 13.08/x
  3. Step 3: Cross multiply
    17.94x = 24.78 × 13.08
  4. Step 4: Simplify right side
    17.94x = 324.12
  5. Step 5: Solve for x
    x = 324.12/17.94
  6. Step 6: Final answer
    x = 18.07

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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.