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Finding the Fourth Proportional to 127.86, 176.39 and 78.05

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Solution

The fourth proportional to 127.86, 176.39 and 78.05 is: 107.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.86 : 176.39 = 78.05 : x
  2. Step 2: Convert to fraction form
    127.86/176.39 = 78.05/x
  3. Step 3: Cross multiply
    127.86x = 176.39 × 78.05
  4. Step 4: Simplify right side
    127.86x = 13,765.97
  5. Step 5: Solve for x
    x = 13,765.97/127.86
  6. Step 6: Final answer
    x = 107.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.