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Finding the Fourth Proportional to 118.67, 178.81 and 105.57

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Solution

The fourth proportional to 118.67, 178.81 and 105.57 is: 159.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.67 : 178.81 = 105.57 : x
  2. Step 2: Convert to fraction form
    118.67/178.81 = 105.57/x
  3. Step 3: Cross multiply
    118.67x = 178.81 × 105.57
  4. Step 4: Simplify right side
    118.67x = 18,876.71
  5. Step 5: Solve for x
    x = 18,876.71/118.67
  6. Step 6: Final answer
    x = 159.08

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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.