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Finding the Fourth Proportional to 77.68, 107.14 and 69.40

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Solution

The fourth proportional to 77.68, 107.14 and 69.40 is: 95.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.68 : 107.14 = 69.40 : x
  2. Step 2: Convert to fraction form
    77.68/107.14 = 69.40/x
  3. Step 3: Cross multiply
    77.68x = 107.14 × 69.40
  4. Step 4: Simplify right side
    77.68x = 7,435.52
  5. Step 5: Solve for x
    x = 7,435.52/77.68
  6. Step 6: Final answer
    x = 95.72

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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.