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Finding the Fourth Proportional to 120.96, 181.44 and 75.20

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Solution

The fourth proportional to 120.96, 181.44 and 75.20 is: 112.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.96 : 181.44 = 75.20 : x
  2. Step 2: Convert to fraction form
    120.96/181.44 = 75.20/x
  3. Step 3: Cross multiply
    120.96x = 181.44 × 75.20
  4. Step 4: Simplify right side
    120.96x = 13,643.38
  5. Step 5: Solve for x
    x = 13,643.38/120.96
  6. Step 6: Final answer
    x = 112.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.