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Finding the Fourth Proportional to 74.25, 111.15 and 54.90

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Solution

The fourth proportional to 74.25, 111.15 and 54.90 is: 82.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.25 : 111.15 = 54.90 : x
  2. Step 2: Convert to fraction form
    74.25/111.15 = 54.90/x
  3. Step 3: Cross multiply
    74.25x = 111.15 × 54.90
  4. Step 4: Simplify right side
    74.25x = 6,102.14
  5. Step 5: Solve for x
    x = 6,102.14/74.25
  6. Step 6: Final answer
    x = 82.18

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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.