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Finding the Fourth Proportional to 127.98, 192.06 and 105.30

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Solution

The fourth proportional to 127.98, 192.06 and 105.30 is: 158.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.98 : 192.06 = 105.30 : x
  2. Step 2: Convert to fraction form
    127.98/192.06 = 105.30/x
  3. Step 3: Cross multiply
    127.98x = 192.06 × 105.30
  4. Step 4: Simplify right side
    127.98x = 20,222.96
  5. Step 5: Solve for x
    x = 20,222.96/127.98
  6. Step 6: Final answer
    x = 158.02

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