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Finding the Fourth Proportional to 31.99, 44.16 and 22.16

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Solution

The fourth proportional to 31.99, 44.16 and 22.16 is: 30.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.99 : 44.16 = 22.16 : x
  2. Step 2: Convert to fraction form
    31.99/44.16 = 22.16/x
  3. Step 3: Cross multiply
    31.99x = 44.16 × 22.16
  4. Step 4: Simplify right side
    31.99x = 978.59
  5. Step 5: Solve for x
    x = 978.59/31.99
  6. Step 6: Final answer
    x = 30.59

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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.