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Finding the Fourth Proportional to 118.60, 178.96 and 112.12

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Solution

The fourth proportional to 118.60, 178.96 and 112.12 is: 169.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.60 : 178.96 = 112.12 : x
  2. Step 2: Convert to fraction form
    118.60/178.96 = 112.12/x
  3. Step 3: Cross multiply
    118.60x = 178.96 × 112.12
  4. Step 4: Simplify right side
    118.60x = 20,065.00
  5. Step 5: Solve for x
    x = 20,065.00/118.60
  6. Step 6: Final answer
    x = 169.18

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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.