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Finding the Fourth Proportional to 77.28, 116.06 and 57.03

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Solution

The fourth proportional to 77.28, 116.06 and 57.03 is: 85.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.28 : 116.06 = 57.03 : x
  2. Step 2: Convert to fraction form
    77.28/116.06 = 57.03/x
  3. Step 3: Cross multiply
    77.28x = 116.06 × 57.03
  4. Step 4: Simplify right side
    77.28x = 6,618.62
  5. Step 5: Solve for x
    x = 6,618.62/77.28
  6. Step 6: Final answer
    x = 85.64

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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.