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Finding the Fourth Proportional to 23.98, 35.77 and 22.66

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Solution

The fourth proportional to 23.98, 35.77 and 22.66 is: 33.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.98 : 35.77 = 22.66 : x
  2. Step 2: Convert to fraction form
    23.98/35.77 = 22.66/x
  3. Step 3: Cross multiply
    23.98x = 35.77 × 22.66
  4. Step 4: Simplify right side
    23.98x = 810.55
  5. Step 5: Solve for x
    x = 810.55/23.98
  6. Step 6: Final answer
    x = 33.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.