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Finding the Fourth Proportional to 127.11, 190.41 and 78.21

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Solution

The fourth proportional to 127.11, 190.41 and 78.21 is: 117.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.11 : 190.41 = 78.21 : x
  2. Step 2: Convert to fraction form
    127.11/190.41 = 78.21/x
  3. Step 3: Cross multiply
    127.11x = 190.41 × 78.21
  4. Step 4: Simplify right side
    127.11x = 14,891.97
  5. Step 5: Solve for x
    x = 14,891.97/127.11
  6. Step 6: Final answer
    x = 117.16

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Why These Related Problems?

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