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Finding the Fourth Proportional to 85.56, 128.87 and 78.16

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Solution

The fourth proportional to 85.56, 128.87 and 78.16 is: 117.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.56 : 128.87 = 78.16 : x
  2. Step 2: Convert to fraction form
    85.56/128.87 = 78.16/x
  3. Step 3: Cross multiply
    85.56x = 128.87 × 78.16
  4. Step 4: Simplify right side
    85.56x = 10,072.48
  5. Step 5: Solve for x
    x = 10,072.48/85.56
  6. Step 6: Final answer
    x = 117.72

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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.