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Finding the Fourth Proportional to 105.54, 158.34 and 37.07

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Solution

The fourth proportional to 105.54, 158.34 and 37.07 is: 55.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.54 : 158.34 = 37.07 : x
  2. Step 2: Convert to fraction form
    105.54/158.34 = 37.07/x
  3. Step 3: Cross multiply
    105.54x = 158.34 × 37.07
  4. Step 4: Simplify right side
    105.54x = 5,868.87
  5. Step 5: Solve for x
    x = 5,868.87/105.54
  6. Step 6: Final answer
    x = 55.61

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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.