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Finding the Fourth Proportional to 105.18, 158.59 and 91.81

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Solution

The fourth proportional to 105.18, 158.59 and 91.81 is: 138.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.18 : 158.59 = 91.81 : x
  2. Step 2: Convert to fraction form
    105.18/158.59 = 91.81/x
  3. Step 3: Cross multiply
    105.18x = 158.59 × 91.81
  4. Step 4: Simplify right side
    105.18x = 14,560.15
  5. Step 5: Solve for x
    x = 14,560.15/105.18
  6. Step 6: Final answer
    x = 138.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.