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Finding the Fourth Proportional to 89.31, 134.19 and 85.89

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Solution

The fourth proportional to 89.31, 134.19 and 85.89 is: 129.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.31 : 134.19 = 85.89 : x
  2. Step 2: Convert to fraction form
    89.31/134.19 = 85.89/x
  3. Step 3: Cross multiply
    89.31x = 134.19 × 85.89
  4. Step 4: Simplify right side
    89.31x = 11,525.58
  5. Step 5: Solve for x
    x = 11,525.58/89.31
  6. Step 6: Final answer
    x = 129.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.