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Finding the Fourth Proportional to 78.26, 107.94 and 65.96

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Solution

The fourth proportional to 78.26, 107.94 and 65.96 is: 90.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.26 : 107.94 = 65.96 : x
  2. Step 2: Convert to fraction form
    78.26/107.94 = 65.96/x
  3. Step 3: Cross multiply
    78.26x = 107.94 × 65.96
  4. Step 4: Simplify right side
    78.26x = 7,119.72
  5. Step 5: Solve for x
    x = 7,119.72/78.26
  6. Step 6: Final answer
    x = 90.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.