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Finding the Fourth Proportional to 23.94, 33.04 and 14.24

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Solution

The fourth proportional to 23.94, 33.04 and 14.24 is: 19.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.94 : 33.04 = 14.24 : x
  2. Step 2: Convert to fraction form
    23.94/33.04 = 14.24/x
  3. Step 3: Cross multiply
    23.94x = 33.04 × 14.24
  4. Step 4: Simplify right side
    23.94x = 470.32
  5. Step 5: Solve for x
    x = 470.32/23.94
  6. Step 6: Final answer
    x = 19.65

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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.