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Finding the Fourth Proportional to 89.62, 122.95 and 84.10

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Solution

The fourth proportional to 89.62, 122.95 and 84.10 is: 115.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.62 : 122.95 = 84.10 : x
  2. Step 2: Convert to fraction form
    89.62/122.95 = 84.10/x
  3. Step 3: Cross multiply
    89.62x = 122.95 × 84.10
  4. Step 4: Simplify right side
    89.62x = 10,340.10
  5. Step 5: Solve for x
    x = 10,340.10/89.62
  6. Step 6: Final answer
    x = 115.38

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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.