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Finding the Fourth Proportional to 24.50, 33.81 and 14.00

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Solution

The fourth proportional to 24.50, 33.81 and 14.00 is: 19.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.50 : 33.81 = 14.00 : x
  2. Step 2: Convert to fraction form
    24.50/33.81 = 14.00/x
  3. Step 3: Cross multiply
    24.50x = 33.81 × 14.00
  4. Step 4: Simplify right side
    24.50x = 473.28
  5. Step 5: Solve for x
    x = 473.28/24.50
  6. Step 6: Final answer
    x = 19.32

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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.