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Finding the Fourth Proportional to 118.99, 164.33 and 94.56

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Solution

The fourth proportional to 118.99, 164.33 and 94.56 is: 130.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.99 : 164.33 = 94.56 : x
  2. Step 2: Convert to fraction form
    118.99/164.33 = 94.56/x
  3. Step 3: Cross multiply
    118.99x = 164.33 × 94.56
  4. Step 4: Simplify right side
    118.99x = 15,539.04
  5. Step 5: Solve for x
    x = 15,539.04/118.99
  6. Step 6: Final answer
    x = 130.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.