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Finding the Fourth Proportional to 85.28, 128.60 and 78.56

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Solution

The fourth proportional to 85.28, 128.60 and 78.56 is: 118.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.28 : 128.60 = 78.56 : x
  2. Step 2: Convert to fraction form
    85.28/128.60 = 78.56/x
  3. Step 3: Cross multiply
    85.28x = 128.60 × 78.56
  4. Step 4: Simplify right side
    85.28x = 10,102.82
  5. Step 5: Solve for x
    x = 10,102.82/85.28
  6. Step 6: Final answer
    x = 118.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.