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Finding the Fourth Proportional to 105.82, 158.76 and 71.26

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Solution

The fourth proportional to 105.82, 158.76 and 71.26 is: 106.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.82 : 158.76 = 71.26 : x
  2. Step 2: Convert to fraction form
    105.82/158.76 = 71.26/x
  3. Step 3: Cross multiply
    105.82x = 158.76 × 71.26
  4. Step 4: Simplify right side
    105.82x = 11,313.24
  5. Step 5: Solve for x
    x = 11,313.24/105.82
  6. Step 6: Final answer
    x = 106.91

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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.