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Finding the Fourth Proportional to 77.48, 107.07 and 66.68

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Solution

The fourth proportional to 77.48, 107.07 and 66.68 is: 92.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.48 : 107.07 = 66.68 : x
  2. Step 2: Convert to fraction form
    77.48/107.07 = 66.68/x
  3. Step 3: Cross multiply
    77.48x = 107.07 × 66.68
  4. Step 4: Simplify right side
    77.48x = 7,139.43
  5. Step 5: Solve for x
    x = 7,139.43/77.48
  6. Step 6: Final answer
    x = 92.15

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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.