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Finding the Fourth Proportional to 120.71, 181.06 and 80.21

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Solution

The fourth proportional to 120.71, 181.06 and 80.21 is: 120.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.71 : 181.06 = 80.21 : x
  2. Step 2: Convert to fraction form
    120.71/181.06 = 80.21/x
  3. Step 3: Cross multiply
    120.71x = 181.06 × 80.21
  4. Step 4: Simplify right side
    120.71x = 14,522.82
  5. Step 5: Solve for x
    x = 14,522.82/120.71
  6. Step 6: Final answer
    x = 120.31

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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.