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Finding the Fourth Proportional to 31.35, 46.95 and 22.31

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Solution

The fourth proportional to 31.35, 46.95 and 22.31 is: 33.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.35 : 46.95 = 22.31 : x
  2. Step 2: Convert to fraction form
    31.35/46.95 = 22.31/x
  3. Step 3: Cross multiply
    31.35x = 46.95 × 22.31
  4. Step 4: Simplify right side
    31.35x = 1,047.45
  5. Step 5: Solve for x
    x = 1,047.45/31.35
  6. Step 6: Final answer
    x = 33.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.