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Finding the Fourth Proportional to 127.36, 190.26 and 106.86

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Solution

The fourth proportional to 127.36, 190.26 and 106.86 is: 159.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.36 : 190.26 = 106.86 : x
  2. Step 2: Convert to fraction form
    127.36/190.26 = 106.86/x
  3. Step 3: Cross multiply
    127.36x = 190.26 × 106.86
  4. Step 4: Simplify right side
    127.36x = 20,331.18
  5. Step 5: Solve for x
    x = 20,331.18/127.36
  6. Step 6: Final answer
    x = 159.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.