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Finding the Fourth Proportional to 78.76, 107.75 and 78.31

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Solution

The fourth proportional to 78.76, 107.75 and 78.31 is: 107.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.76 : 107.75 = 78.31 : x
  2. Step 2: Convert to fraction form
    78.76/107.75 = 78.31/x
  3. Step 3: Cross multiply
    78.76x = 107.75 × 78.31
  4. Step 4: Simplify right side
    78.76x = 8,437.90
  5. Step 5: Solve for x
    x = 8,437.90/78.76
  6. Step 6: Final answer
    x = 107.13

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.