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Finding the Fourth Proportional to 120.12, 181.20 and 116.88

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Solution

The fourth proportional to 120.12, 181.20 and 116.88 is: 176.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.12 : 181.20 = 116.88 : x
  2. Step 2: Convert to fraction form
    120.12/181.20 = 116.88/x
  3. Step 3: Cross multiply
    120.12x = 181.20 × 116.88
  4. Step 4: Simplify right side
    120.12x = 21,178.66
  5. Step 5: Solve for x
    x = 21,178.66/120.12
  6. Step 6: Final answer
    x = 176.31

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