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Finding the Fourth Proportional to 127.22, 174.80 and 115.06

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Solution

The fourth proportional to 127.22, 174.80 and 115.06 is: 158.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.22 : 174.80 = 115.06 : x
  2. Step 2: Convert to fraction form
    127.22/174.80 = 115.06/x
  3. Step 3: Cross multiply
    127.22x = 174.80 × 115.06
  4. Step 4: Simplify right side
    127.22x = 20,112.49
  5. Step 5: Solve for x
    x = 20,112.49/127.22
  6. Step 6: Final answer
    x = 158.09

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.