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Finding the Fourth Proportional to 23.77, 35.64 and 11.59

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Solution

The fourth proportional to 23.77, 35.64 and 11.59 is: 17.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.77 : 35.64 = 11.59 : x
  2. Step 2: Convert to fraction form
    23.77/35.64 = 11.59/x
  3. Step 3: Cross multiply
    23.77x = 35.64 × 11.59
  4. Step 4: Simplify right side
    23.77x = 413.07
  5. Step 5: Solve for x
    x = 413.07/23.77
  6. Step 6: Final answer
    x = 17.38

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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.