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Finding the Fourth Proportional to 127.33, 191.79 and 119.64

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Solution

The fourth proportional to 127.33, 191.79 and 119.64 is: 180.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.33 : 191.79 = 119.64 : x
  2. Step 2: Convert to fraction form
    127.33/191.79 = 119.64/x
  3. Step 3: Cross multiply
    127.33x = 191.79 × 119.64
  4. Step 4: Simplify right side
    127.33x = 22,946.05
  5. Step 5: Solve for x
    x = 22,946.05/127.33
  6. Step 6: Final answer
    x = 180.21

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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.