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Finding the Fourth Proportional to 74.76, 111.98 and 36.21

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Solution

The fourth proportional to 74.76, 111.98 and 36.21 is: 54.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.76 : 111.98 = 36.21 : x
  2. Step 2: Convert to fraction form
    74.76/111.98 = 36.21/x
  3. Step 3: Cross multiply
    74.76x = 111.98 × 36.21
  4. Step 4: Simplify right side
    74.76x = 4,055.31
  5. Step 5: Solve for x
    x = 4,055.31/74.76
  6. Step 6: Final answer
    x = 54.25

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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.