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Finding the Fourth Proportional to 102.56, 141.09 and 84.11

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Solution

The fourth proportional to 102.56, 141.09 and 84.11 is: 115.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.56 : 141.09 = 84.11 : x
  2. Step 2: Convert to fraction form
    102.56/141.09 = 84.11/x
  3. Step 3: Cross multiply
    102.56x = 141.09 × 84.11
  4. Step 4: Simplify right side
    102.56x = 11,866.37
  5. Step 5: Solve for x
    x = 11,866.37/102.56
  6. Step 6: Final answer
    x = 115.71

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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.