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Finding the Fourth Proportional to 50.53, 75.26 and 49.93

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Solution

The fourth proportional to 50.53, 75.26 and 49.93 is: 74.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.53 : 75.26 = 49.93 : x
  2. Step 2: Convert to fraction form
    50.53/75.26 = 49.93/x
  3. Step 3: Cross multiply
    50.53x = 75.26 × 49.93
  4. Step 4: Simplify right side
    50.53x = 3,757.73
  5. Step 5: Solve for x
    x = 3,757.73/50.53
  6. Step 6: Final answer
    x = 74.37

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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.