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Finding the Fourth Proportional to 129.02, 178.14 and 122.18

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Solution

The fourth proportional to 129.02, 178.14 and 122.18 is: 168.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.02 : 178.14 = 122.18 : x
  2. Step 2: Convert to fraction form
    129.02/178.14 = 122.18/x
  3. Step 3: Cross multiply
    129.02x = 178.14 × 122.18
  4. Step 4: Simplify right side
    129.02x = 21,765.15
  5. Step 5: Solve for x
    x = 21,765.15/129.02
  6. Step 6: Final answer
    x = 168.70

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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.