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Finding the Fourth Proportional to 127.31, 175.69 and 78.18

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Solution

The fourth proportional to 127.31, 175.69 and 78.18 is: 107.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.31 : 175.69 = 78.18 : x
  2. Step 2: Convert to fraction form
    127.31/175.69 = 78.18/x
  3. Step 3: Cross multiply
    127.31x = 175.69 × 78.18
  4. Step 4: Simplify right side
    127.31x = 13,734.17
  5. Step 5: Solve for x
    x = 13,734.17/127.31
  6. Step 6: Final answer
    x = 107.88

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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.