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Finding the Fourth Proportional to 120.94, 181.41 and 56.81

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Solution

The fourth proportional to 120.94, 181.41 and 56.81 is: 85.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.94 : 181.41 = 56.81 : x
  2. Step 2: Convert to fraction form
    120.94/181.41 = 56.81/x
  3. Step 3: Cross multiply
    120.94x = 181.41 × 56.81
  4. Step 4: Simplify right side
    120.94x = 10,305.90
  5. Step 5: Solve for x
    x = 10,305.90/120.94
  6. Step 6: Final answer
    x = 85.22

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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.