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Finding the Fourth Proportional to 81.94, 122.90 and 50.08

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Solution

The fourth proportional to 81.94, 122.90 and 50.08 is: 75.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.94 : 122.90 = 50.08 : x
  2. Step 2: Convert to fraction form
    81.94/122.90 = 50.08/x
  3. Step 3: Cross multiply
    81.94x = 122.90 × 50.08
  4. Step 4: Simplify right side
    81.94x = 6,154.22
  5. Step 5: Solve for x
    x = 6,154.22/81.94
  6. Step 6: Final answer
    x = 75.11

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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.