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Finding the Fourth Proportional to 119.87, 178.99 and 118.59

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Solution

The fourth proportional to 119.87, 178.99 and 118.59 is: 177.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.87 : 178.99 = 118.59 : x
  2. Step 2: Convert to fraction form
    119.87/178.99 = 118.59/x
  3. Step 3: Cross multiply
    119.87x = 178.99 × 118.59
  4. Step 4: Simplify right side
    119.87x = 21,226.13
  5. Step 5: Solve for x
    x = 21,226.13/119.87
  6. Step 6: Final answer
    x = 177.08

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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.