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Finding the Fourth Proportional to 122.19, 168.69 and 85.28

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Solution

The fourth proportional to 122.19, 168.69 and 85.28 is: 117.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.19 : 168.69 = 85.28 : x
  2. Step 2: Convert to fraction form
    122.19/168.69 = 85.28/x
  3. Step 3: Cross multiply
    122.19x = 168.69 × 85.28
  4. Step 4: Simplify right side
    122.19x = 14,386.31
  5. Step 5: Solve for x
    x = 14,386.31/122.19
  6. Step 6: Final answer
    x = 117.74

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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.