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Finding the Fourth Proportional to 89.33, 122.89 and 72.92

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Solution

The fourth proportional to 89.33, 122.89 and 72.92 is: 100.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.33 : 122.89 = 72.92 : x
  2. Step 2: Convert to fraction form
    89.33/122.89 = 72.92/x
  3. Step 3: Cross multiply
    89.33x = 122.89 × 72.92
  4. Step 4: Simplify right side
    89.33x = 8,961.14
  5. Step 5: Solve for x
    x = 8,961.14/89.33
  6. Step 6: Final answer
    x = 100.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.