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Finding the Fourth Proportional to 89.11, 122.08 and 85.87

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Solution

The fourth proportional to 89.11, 122.08 and 85.87 is: 117.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.11 : 122.08 = 85.87 : x
  2. Step 2: Convert to fraction form
    89.11/122.08 = 85.87/x
  3. Step 3: Cross multiply
    89.11x = 122.08 × 85.87
  4. Step 4: Simplify right side
    89.11x = 10,483.01
  5. Step 5: Solve for x
    x = 10,483.01/89.11
  6. Step 6: Final answer
    x = 117.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.