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Finding the Fourth Proportional to 23.26, 31.77 and 22.30

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Solution

The fourth proportional to 23.26, 31.77 and 22.30 is: 30.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.26 : 31.77 = 22.30 : x
  2. Step 2: Convert to fraction form
    23.26/31.77 = 22.30/x
  3. Step 3: Cross multiply
    23.26x = 31.77 × 22.30
  4. Step 4: Simplify right side
    23.26x = 708.47
  5. Step 5: Solve for x
    x = 708.47/23.26
  6. Step 6: Final answer
    x = 30.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.