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Finding the Fourth Proportional to 129.95, 195.15 and 119.24

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Solution

The fourth proportional to 129.95, 195.15 and 119.24 is: 179.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.95 : 195.15 = 119.24 : x
  2. Step 2: Convert to fraction form
    129.95/195.15 = 119.24/x
  3. Step 3: Cross multiply
    129.95x = 195.15 × 119.24
  4. Step 4: Simplify right side
    129.95x = 23,268.71
  5. Step 5: Solve for x
    x = 23,268.71/129.95
  6. Step 6: Final answer
    x = 179.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.