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Finding the Fourth Proportional to 122.02, 168.35 and 70.26

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Solution

The fourth proportional to 122.02, 168.35 and 70.26 is: 96.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.02 : 168.35 = 70.26 : x
  2. Step 2: Convert to fraction form
    122.02/168.35 = 70.26/x
  3. Step 3: Cross multiply
    122.02x = 168.35 × 70.26
  4. Step 4: Simplify right side
    122.02x = 11,828.27
  5. Step 5: Solve for x
    x = 11,828.27/122.02
  6. Step 6: Final answer
    x = 96.94

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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.