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Finding the Fourth Proportional to 23.31, 31.77 and 23.22

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Solution

The fourth proportional to 23.31, 31.77 and 23.22 is: 31.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.31 : 31.77 = 23.22 : x
  2. Step 2: Convert to fraction form
    23.31/31.77 = 23.22/x
  3. Step 3: Cross multiply
    23.31x = 31.77 × 23.22
  4. Step 4: Simplify right side
    23.31x = 737.70
  5. Step 5: Solve for x
    x = 737.70/23.31
  6. Step 6: Final answer
    x = 31.65

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.