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Finding the Fourth Proportional to 31.50, 47.22 and 31.23

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Solution

The fourth proportional to 31.50, 47.22 and 31.23 is: 46.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.50 : 47.22 = 31.23 : x
  2. Step 2: Convert to fraction form
    31.50/47.22 = 31.23/x
  3. Step 3: Cross multiply
    31.50x = 47.22 × 31.23
  4. Step 4: Simplify right side
    31.50x = 1,474.68
  5. Step 5: Solve for x
    x = 1,474.68/31.50
  6. Step 6: Final answer
    x = 46.82

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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.