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Finding the Fourth Proportional to 31.75, 43.67 and 29.54

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Solution

The fourth proportional to 31.75, 43.67 and 29.54 is: 40.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.75 : 43.67 = 29.54 : x
  2. Step 2: Convert to fraction form
    31.75/43.67 = 29.54/x
  3. Step 3: Cross multiply
    31.75x = 43.67 × 29.54
  4. Step 4: Simplify right side
    31.75x = 1,290.19
  5. Step 5: Solve for x
    x = 1,290.19/31.75
  6. Step 6: Final answer
    x = 40.64

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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.