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Finding the Fourth Proportional to 127.58, 190.08 and 119.71

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Solution

The fourth proportional to 127.58, 190.08 and 119.71 is: 178.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.58 : 190.08 = 119.71 : x
  2. Step 2: Convert to fraction form
    127.58/190.08 = 119.71/x
  3. Step 3: Cross multiply
    127.58x = 190.08 × 119.71
  4. Step 4: Simplify right side
    127.58x = 22,754.71
  5. Step 5: Solve for x
    x = 22,754.71/127.58
  6. Step 6: Final answer
    x = 178.36

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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.