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Finding the Fourth Proportional to 31.33, 46.93 and 23.22

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Solution

The fourth proportional to 31.33, 46.93 and 23.22 is: 34.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.33 : 46.93 = 23.22 : x
  2. Step 2: Convert to fraction form
    31.33/46.93 = 23.22/x
  3. Step 3: Cross multiply
    31.33x = 46.93 × 23.22
  4. Step 4: Simplify right side
    31.33x = 1,089.77
  5. Step 5: Solve for x
    x = 1,089.77/31.33
  6. Step 6: Final answer
    x = 34.78

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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.