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Finding the Fourth Proportional to 50.83, 76.26 and 50.02

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Solution

The fourth proportional to 50.83, 76.26 and 50.02 is: 75.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.83 : 76.26 = 50.02 : x
  2. Step 2: Convert to fraction form
    50.83/76.26 = 50.02/x
  3. Step 3: Cross multiply
    50.83x = 76.26 × 50.02
  4. Step 4: Simplify right side
    50.83x = 3,814.53
  5. Step 5: Solve for x
    x = 3,814.53/50.83
  6. Step 6: Final answer
    x = 75.04

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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.