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Finding the Fourth Proportional to 74.21, 111.26 and 43.78

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Solution

The fourth proportional to 74.21, 111.26 and 43.78 is: 65.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.21 : 111.26 = 43.78 : x
  2. Step 2: Convert to fraction form
    74.21/111.26 = 43.78/x
  3. Step 3: Cross multiply
    74.21x = 111.26 × 43.78
  4. Step 4: Simplify right side
    74.21x = 4,870.79
  5. Step 5: Solve for x
    x = 4,870.79/74.21
  6. Step 6: Final answer
    x = 65.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.