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Finding the Fourth Proportional to 127.11, 175.46 and 77.34

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Solution

The fourth proportional to 127.11, 175.46 and 77.34 is: 106.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.11 : 175.46 = 77.34 : x
  2. Step 2: Convert to fraction form
    127.11/175.46 = 77.34/x
  3. Step 3: Cross multiply
    127.11x = 175.46 × 77.34
  4. Step 4: Simplify right side
    127.11x = 13,570.08
  5. Step 5: Solve for x
    x = 13,570.08/127.11
  6. Step 6: Final answer
    x = 106.76

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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.