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Finding the Fourth Proportional to 120.94, 180.35 and 118.06

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Solution

The fourth proportional to 120.94, 180.35 and 118.06 is: 176.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.94 : 180.35 = 118.06 : x
  2. Step 2: Convert to fraction form
    120.94/180.35 = 118.06/x
  3. Step 3: Cross multiply
    120.94x = 180.35 × 118.06
  4. Step 4: Simplify right side
    120.94x = 21,292.12
  5. Step 5: Solve for x
    x = 21,292.12/120.94
  6. Step 6: Final answer
    x = 176.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.