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Finding the Fourth Proportional to 100.46, 150.74 and 54.84

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Solution

The fourth proportional to 100.46, 150.74 and 54.84 is: 82.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.46 : 150.74 = 54.84 : x
  2. Step 2: Convert to fraction form
    100.46/150.74 = 54.84/x
  3. Step 3: Cross multiply
    100.46x = 150.74 × 54.84
  4. Step 4: Simplify right side
    100.46x = 8,266.58
  5. Step 5: Solve for x
    x = 8,266.58/100.46
  6. Step 6: Final answer
    x = 82.29

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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.