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Finding the Fourth Proportional to 31.21, 46.77 and 22.20

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Solution

The fourth proportional to 31.21, 46.77 and 22.20 is: 33.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.21 : 46.77 = 22.20 : x
  2. Step 2: Convert to fraction form
    31.21/46.77 = 22.20/x
  3. Step 3: Cross multiply
    31.21x = 46.77 × 22.20
  4. Step 4: Simplify right side
    31.21x = 1,038.29
  5. Step 5: Solve for x
    x = 1,038.29/31.21
  6. Step 6: Final answer
    x = 33.27

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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.