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Finding the Fourth Proportional to 89.36, 123.24 and 85.04

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Solution

The fourth proportional to 89.36, 123.24 and 85.04 is: 117.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.36 : 123.24 = 85.04 : x
  2. Step 2: Convert to fraction form
    89.36/123.24 = 85.04/x
  3. Step 3: Cross multiply
    89.36x = 123.24 × 85.04
  4. Step 4: Simplify right side
    89.36x = 10,480.33
  5. Step 5: Solve for x
    x = 10,480.33/89.36
  6. Step 6: Final answer
    x = 117.28

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