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Finding the Fourth Proportional to 120.71, 181.17 and 80.01

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Solution

The fourth proportional to 120.71, 181.17 and 80.01 is: 120.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.71 : 181.17 = 80.01 : x
  2. Step 2: Convert to fraction form
    120.71/181.17 = 80.01/x
  3. Step 3: Cross multiply
    120.71x = 181.17 × 80.01
  4. Step 4: Simplify right side
    120.71x = 14,495.41
  5. Step 5: Solve for x
    x = 14,495.41/120.71
  6. Step 6: Final answer
    x = 120.08

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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.