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Finding the Fourth Proportional to 74.01, 110.83 and 49.89

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Solution

The fourth proportional to 74.01, 110.83 and 49.89 is: 74.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.01 : 110.83 = 49.89 : x
  2. Step 2: Convert to fraction form
    74.01/110.83 = 49.89/x
  3. Step 3: Cross multiply
    74.01x = 110.83 × 49.89
  4. Step 4: Simplify right side
    74.01x = 5,528.86
  5. Step 5: Solve for x
    x = 5,528.86/74.01
  6. Step 6: Final answer
    x = 74.71

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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.