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Finding the Fourth Proportional to 94.83, 142.03 and 49.22

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Solution

The fourth proportional to 94.83, 142.03 and 49.22 is: 73.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.83 : 142.03 = 49.22 : x
  2. Step 2: Convert to fraction form
    94.83/142.03 = 49.22/x
  3. Step 3: Cross multiply
    94.83x = 142.03 × 49.22
  4. Step 4: Simplify right side
    94.83x = 6,989.76
  5. Step 5: Solve for x
    x = 6,989.76/94.83
  6. Step 6: Final answer
    x = 73.71

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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.