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Finding the Fourth Proportional to 50.44, 76.06 and 49.53

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Solution

The fourth proportional to 50.44, 76.06 and 49.53 is: 74.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.44 : 76.06 = 49.53 : x
  2. Step 2: Convert to fraction form
    50.44/76.06 = 49.53/x
  3. Step 3: Cross multiply
    50.44x = 76.06 × 49.53
  4. Step 4: Simplify right side
    50.44x = 3,767.25
  5. Step 5: Solve for x
    x = 3,767.25/50.44
  6. Step 6: Final answer
    x = 74.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.