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Finding the Fourth Proportional to 122.16, 168.54 and 85.31

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Solution

The fourth proportional to 122.16, 168.54 and 85.31 is: 117.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.16 : 168.54 = 85.31 : x
  2. Step 2: Convert to fraction form
    122.16/168.54 = 85.31/x
  3. Step 3: Cross multiply
    122.16x = 168.54 × 85.31
  4. Step 4: Simplify right side
    122.16x = 14,378.15
  5. Step 5: Solve for x
    x = 14,378.15/122.16
  6. Step 6: Final answer
    x = 117.70

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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.