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Finding the Fourth Proportional to 31.51, 43.50 and 22.31

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Solution

The fourth proportional to 31.51, 43.50 and 22.31 is: 30.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.51 : 43.50 = 22.31 : x
  2. Step 2: Convert to fraction form
    31.51/43.50 = 22.31/x
  3. Step 3: Cross multiply
    31.51x = 43.50 × 22.31
  4. Step 4: Simplify right side
    31.51x = 970.49
  5. Step 5: Solve for x
    x = 970.49/31.51
  6. Step 6: Final answer
    x = 30.80

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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.