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Finding the Fourth Proportional to 53.89, 80.83 and 31.07

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Solution

The fourth proportional to 53.89, 80.83 and 31.07 is: 46.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.89 : 80.83 = 31.07 : x
  2. Step 2: Convert to fraction form
    53.89/80.83 = 31.07/x
  3. Step 3: Cross multiply
    53.89x = 80.83 × 31.07
  4. Step 4: Simplify right side
    53.89x = 2,511.39
  5. Step 5: Solve for x
    x = 2,511.39/53.89
  6. Step 6: Final answer
    x = 46.61

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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.