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Finding the Fourth Proportional to 127.07, 175.28 and 96

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Solution

The fourth proportional to 127.07, 175.28 and 96 is: 132.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.07 : 175.28 = 96 : x
  2. Step 2: Convert to fraction form
    127.07/175.28 = 96/x
  3. Step 3: Cross multiply
    127.07x = 175.28 × 96
  4. Step 4: Simplify right side
    127.07x = 16,826.88
  5. Step 5: Solve for x
    x = 16,826.88/127.07
  6. Step 6: Final answer
    x = 132.42

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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.