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Finding the Fourth Proportional to 105.53, 158.27 and 37.05

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Solution

The fourth proportional to 105.53, 158.27 and 37.05 is: 55.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.53 : 158.27 = 37.05 : x
  2. Step 2: Convert to fraction form
    105.53/158.27 = 37.05/x
  3. Step 3: Cross multiply
    105.53x = 158.27 × 37.05
  4. Step 4: Simplify right side
    105.53x = 5,863.11
  5. Step 5: Solve for x
    x = 5,863.11/105.53
  6. Step 6: Final answer
    x = 55.56

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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.