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Finding the Fourth Proportional to 89.13, 122.94 and 83.60

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Solution

The fourth proportional to 89.13, 122.94 and 83.60 is: 115.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.13 : 122.94 = 83.60 : x
  2. Step 2: Convert to fraction form
    89.13/122.94 = 83.60/x
  3. Step 3: Cross multiply
    89.13x = 122.94 × 83.60
  4. Step 4: Simplify right side
    89.13x = 10,277.17
  5. Step 5: Solve for x
    x = 10,277.17/89.13
  6. Step 6: Final answer
    x = 115.31

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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.