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Finding the Fourth Proportional to 23.82, 35.70 and 11.77

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Solution

The fourth proportional to 23.82, 35.70 and 11.77 is: 17.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.82 : 35.70 = 11.77 : x
  2. Step 2: Convert to fraction form
    23.82/35.70 = 11.77/x
  3. Step 3: Cross multiply
    23.82x = 35.70 × 11.77
  4. Step 4: Simplify right side
    23.82x = 420.06
  5. Step 5: Solve for x
    x = 420.06/23.82
  6. Step 6: Final answer
    x = 17.64

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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.