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Finding the Fourth Proportional to 120.75, 181.14 and 34.08

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Solution

The fourth proportional to 120.75, 181.14 and 34.08 is: 51.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.75 : 181.14 = 34.08 : x
  2. Step 2: Convert to fraction form
    120.75/181.14 = 34.08/x
  3. Step 3: Cross multiply
    120.75x = 181.14 × 34.08
  4. Step 4: Simplify right side
    120.75x = 6,173.97
  5. Step 5: Solve for x
    x = 6,173.97/120.75
  6. Step 6: Final answer
    x = 51.13

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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.