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Finding the Fourth Proportional to 31.69, 43.77 and 22.06

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Solution

The fourth proportional to 31.69, 43.77 and 22.06 is: 30.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.69 : 43.77 = 22.06 : x
  2. Step 2: Convert to fraction form
    31.69/43.77 = 22.06/x
  3. Step 3: Cross multiply
    31.69x = 43.77 × 22.06
  4. Step 4: Simplify right side
    31.69x = 965.57
  5. Step 5: Solve for x
    x = 965.57/31.69
  6. Step 6: Final answer
    x = 30.47

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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.