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Finding the Fourth Proportional to 89.56, 134.29 and 57.09

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Solution

The fourth proportional to 89.56, 134.29 and 57.09 is: 85.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.56 : 134.29 = 57.09 : x
  2. Step 2: Convert to fraction form
    89.56/134.29 = 57.09/x
  3. Step 3: Cross multiply
    89.56x = 134.29 × 57.09
  4. Step 4: Simplify right side
    89.56x = 7,666.62
  5. Step 5: Solve for x
    x = 7,666.62/89.56
  6. Step 6: Final answer
    x = 85.60

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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.