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Finding the Fourth Proportional to 105.77, 158.37 and 73.37

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Solution

The fourth proportional to 105.77, 158.37 and 73.37 is: 109.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.77 : 158.37 = 73.37 : x
  2. Step 2: Convert to fraction form
    105.77/158.37 = 73.37/x
  3. Step 3: Cross multiply
    105.77x = 158.37 × 73.37
  4. Step 4: Simplify right side
    105.77x = 11,618.82
  5. Step 5: Solve for x
    x = 11,618.82/105.77
  6. Step 6: Final answer
    x = 109.86

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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.