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Finding the Fourth Proportional to 17.30, 23.83 and 13.84

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Solution

The fourth proportional to 17.30, 23.83 and 13.84 is: 19.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.30 : 23.83 = 13.84 : x
  2. Step 2: Convert to fraction form
    17.30/23.83 = 13.84/x
  3. Step 3: Cross multiply
    17.30x = 23.83 × 13.84
  4. Step 4: Simplify right side
    17.30x = 329.81
  5. Step 5: Solve for x
    x = 329.81/17.30
  6. Step 6: Final answer
    x = 19.06

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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.