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Finding the Fourth Proportional to 77.68, 116.39 and 34.28

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Solution

The fourth proportional to 77.68, 116.39 and 34.28 is: 51.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.68 : 116.39 = 34.28 : x
  2. Step 2: Convert to fraction form
    77.68/116.39 = 34.28/x
  3. Step 3: Cross multiply
    77.68x = 116.39 × 34.28
  4. Step 4: Simplify right side
    77.68x = 3,989.10
  5. Step 5: Solve for x
    x = 3,989.10/77.68
  6. Step 6: Final answer
    x = 51.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.