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Finding the Fourth Proportional to 122.19, 168.54 and 84.78

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Solution

The fourth proportional to 122.19, 168.54 and 84.78 is: 116.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.19 : 168.54 = 84.78 : x
  2. Step 2: Convert to fraction form
    122.19/168.54 = 84.78/x
  3. Step 3: Cross multiply
    122.19x = 168.54 × 84.78
  4. Step 4: Simplify right side
    122.19x = 14,289.01
  5. Step 5: Solve for x
    x = 14,289.01/122.19
  6. Step 6: Final answer
    x = 116.94

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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.