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Finding the Fourth Proportional to 31.65, 43.60 and 23.44

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Solution

The fourth proportional to 31.65, 43.60 and 23.44 is: 32.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.65 : 43.60 = 23.44 : x
  2. Step 2: Convert to fraction form
    31.65/43.60 = 23.44/x
  3. Step 3: Cross multiply
    31.65x = 43.60 × 23.44
  4. Step 4: Simplify right side
    31.65x = 1,021.98
  5. Step 5: Solve for x
    x = 1,021.98/31.65
  6. Step 6: Final answer
    x = 32.29

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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.