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Finding the Fourth Proportional to 105.39, 158.22 and 91.89

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Solution

The fourth proportional to 105.39, 158.22 and 91.89 is: 137.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.39 : 158.22 = 91.89 : x
  2. Step 2: Convert to fraction form
    105.39/158.22 = 91.89/x
  3. Step 3: Cross multiply
    105.39x = 158.22 × 91.89
  4. Step 4: Simplify right side
    105.39x = 14,538.84
  5. Step 5: Solve for x
    x = 14,538.84/105.39
  6. Step 6: Final answer
    x = 137.95

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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.