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Finding the Fourth Proportional to 50.12, 74.81 and 49.16

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Solution

The fourth proportional to 50.12, 74.81 and 49.16 is: 73.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.12 : 74.81 = 49.16 : x
  2. Step 2: Convert to fraction form
    50.12/74.81 = 49.16/x
  3. Step 3: Cross multiply
    50.12x = 74.81 × 49.16
  4. Step 4: Simplify right side
    50.12x = 3,677.66
  5. Step 5: Solve for x
    x = 3,677.66/50.12
  6. Step 6: Final answer
    x = 73.38

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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.