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Finding the Fourth Proportional to 23.31, 32.22 and 22.77

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Solution

The fourth proportional to 23.31, 32.22 and 22.77 is: 31.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.31 : 32.22 = 22.77 : x
  2. Step 2: Convert to fraction form
    23.31/32.22 = 22.77/x
  3. Step 3: Cross multiply
    23.31x = 32.22 × 22.77
  4. Step 4: Simplify right side
    23.31x = 733.65
  5. Step 5: Solve for x
    x = 733.65/23.31
  6. Step 6: Final answer
    x = 31.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.