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Finding the Fourth Proportional to 50.83, 75.94 and 37.26

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Solution

The fourth proportional to 50.83, 75.94 and 37.26 is: 55.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.83 : 75.94 = 37.26 : x
  2. Step 2: Convert to fraction form
    50.83/75.94 = 37.26/x
  3. Step 3: Cross multiply
    50.83x = 75.94 × 37.26
  4. Step 4: Simplify right side
    50.83x = 2,829.43
  5. Step 5: Solve for x
    x = 2,829.43/50.83
  6. Step 6: Final answer
    x = 55.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.