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Finding the Fourth Proportional to 94.75, 142.14 and 49.09

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Solution

The fourth proportional to 94.75, 142.14 and 49.09 is: 73.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.75 : 142.14 = 49.09 : x
  2. Step 2: Convert to fraction form
    94.75/142.14 = 49.09/x
  3. Step 3: Cross multiply
    94.75x = 142.14 × 49.09
  4. Step 4: Simplify right side
    94.75x = 6,977.65
  5. Step 5: Solve for x
    x = 6,977.65/94.75
  6. Step 6: Final answer
    x = 73.64

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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.