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Finding the Fourth Proportional to 78.62, 108.23 and 66.33

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Solution

The fourth proportional to 78.62, 108.23 and 66.33 is: 91.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.62 : 108.23 = 66.33 : x
  2. Step 2: Convert to fraction form
    78.62/108.23 = 66.33/x
  3. Step 3: Cross multiply
    78.62x = 108.23 × 66.33
  4. Step 4: Simplify right side
    78.62x = 7,178.56
  5. Step 5: Solve for x
    x = 7,178.56/78.62
  6. Step 6: Final answer
    x = 91.31

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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.