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Finding the Fourth Proportional to 122.28, 168.69 and 89.52

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Solution

The fourth proportional to 122.28, 168.69 and 89.52 is: 123.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.28 : 168.69 = 89.52 : x
  2. Step 2: Convert to fraction form
    122.28/168.69 = 89.52/x
  3. Step 3: Cross multiply
    122.28x = 168.69 × 89.52
  4. Step 4: Simplify right side
    122.28x = 15,101.13
  5. Step 5: Solve for x
    x = 15,101.13/122.28
  6. Step 6: Final answer
    x = 123.50

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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.