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Finding the Fourth Proportional to 74.21, 111.73 and 67.84

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Solution

The fourth proportional to 74.21, 111.73 and 67.84 is: 102.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.21 : 111.73 = 67.84 : x
  2. Step 2: Convert to fraction form
    74.21/111.73 = 67.84/x
  3. Step 3: Cross multiply
    74.21x = 111.73 × 67.84
  4. Step 4: Simplify right side
    74.21x = 7,579.20
  5. Step 5: Solve for x
    x = 7,579.20/74.21
  6. Step 6: Final answer
    x = 102.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.