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Finding the Fourth Proportional to 89.54, 122.24 and 88.32

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Solution

The fourth proportional to 89.54, 122.24 and 88.32 is: 120.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.54 : 122.24 = 88.32 : x
  2. Step 2: Convert to fraction form
    89.54/122.24 = 88.32/x
  3. Step 3: Cross multiply
    89.54x = 122.24 × 88.32
  4. Step 4: Simplify right side
    89.54x = 10,795.80
  5. Step 5: Solve for x
    x = 10,795.80/89.54
  6. Step 6: Final answer
    x = 120.58

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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.