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Finding the Fourth Proportional to 120.18, 179.18 and 118.02

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Solution

The fourth proportional to 120.18, 179.18 and 118.02 is: 175.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.18 : 179.18 = 118.02 : x
  2. Step 2: Convert to fraction form
    120.18/179.18 = 118.02/x
  3. Step 3: Cross multiply
    120.18x = 179.18 × 118.02
  4. Step 4: Simplify right side
    120.18x = 21,146.82
  5. Step 5: Solve for x
    x = 21,146.82/120.18
  6. Step 6: Final answer
    x = 175.96

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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.