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Finding the Fourth Proportional to 31.77, 43.83 and 22.59

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Solution

The fourth proportional to 31.77, 43.83 and 22.59 is: 31.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.77 : 43.83 = 22.59 : x
  2. Step 2: Convert to fraction form
    31.77/43.83 = 22.59/x
  3. Step 3: Cross multiply
    31.77x = 43.83 × 22.59
  4. Step 4: Simplify right side
    31.77x = 990.12
  5. Step 5: Solve for x
    x = 990.12/31.77
  6. Step 6: Final answer
    x = 31.17

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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.