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Finding the Fourth Proportional to 127.78, 191.22 and 106

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Solution

The fourth proportional to 127.78, 191.22 and 106 is: 158.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.78 : 191.22 = 106 : x
  2. Step 2: Convert to fraction form
    127.78/191.22 = 106/x
  3. Step 3: Cross multiply
    127.78x = 191.22 × 106
  4. Step 4: Simplify right side
    127.78x = 20,269.32
  5. Step 5: Solve for x
    x = 20,269.32/127.78
  6. Step 6: Final answer
    x = 158.63

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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.