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Finding the Fourth Proportional to 120.36, 181.41 and 113.76

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Solution

The fourth proportional to 120.36, 181.41 and 113.76 is: 171.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.36 : 181.41 = 113.76 : x
  2. Step 2: Convert to fraction form
    120.36/181.41 = 113.76/x
  3. Step 3: Cross multiply
    120.36x = 181.41 × 113.76
  4. Step 4: Simplify right side
    120.36x = 20,637.20
  5. Step 5: Solve for x
    x = 20,637.20/120.36
  6. Step 6: Final answer
    x = 171.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.