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Finding the Fourth Proportional to 16.36, 24.55 and 11.84

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Solution

The fourth proportional to 16.36, 24.55 and 11.84 is: 17.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.36 : 24.55 = 11.84 : x
  2. Step 2: Convert to fraction form
    16.36/24.55 = 11.84/x
  3. Step 3: Cross multiply
    16.36x = 24.55 × 11.84
  4. Step 4: Simplify right side
    16.36x = 290.67
  5. Step 5: Solve for x
    x = 290.67/16.36
  6. Step 6: Final answer
    x = 17.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.