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Finding the Fourth Proportional to 50.54, 75.72 and 31.26

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Solution

The fourth proportional to 50.54, 75.72 and 31.26 is: 46.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.54 : 75.72 = 31.26 : x
  2. Step 2: Convert to fraction form
    50.54/75.72 = 31.26/x
  3. Step 3: Cross multiply
    50.54x = 75.72 × 31.26
  4. Step 4: Simplify right side
    50.54x = 2,367.01
  5. Step 5: Solve for x
    x = 2,367.01/50.54
  6. Step 6: Final answer
    x = 46.83

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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.