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Finding the Fourth Proportional to 127.24, 175.52 and 78.08

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Solution

The fourth proportional to 127.24, 175.52 and 78.08 is: 107.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.24 : 175.52 = 78.08 : x
  2. Step 2: Convert to fraction form
    127.24/175.52 = 78.08/x
  3. Step 3: Cross multiply
    127.24x = 175.52 × 78.08
  4. Step 4: Simplify right side
    127.24x = 13,704.47
  5. Step 5: Solve for x
    x = 13,704.47/127.24
  6. Step 6: Final answer
    x = 107.71

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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.