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Finding the Fourth Proportional to 50.16, 74.67 and 49.44

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Solution

The fourth proportional to 50.16, 74.67 and 49.44 is: 73.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.16 : 74.67 = 49.44 : x
  2. Step 2: Convert to fraction form
    50.16/74.67 = 49.44/x
  3. Step 3: Cross multiply
    50.16x = 74.67 × 49.44
  4. Step 4: Simplify right side
    50.16x = 3,691.68
  5. Step 5: Solve for x
    x = 3,691.68/50.16
  6. Step 6: Final answer
    x = 73.60

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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.