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Finding the Fourth Proportional to 129.20, 178.52 and 121.08

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Solution

The fourth proportional to 129.20, 178.52 and 121.08 is: 167.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.20 : 178.52 = 121.08 : x
  2. Step 2: Convert to fraction form
    129.20/178.52 = 121.08/x
  3. Step 3: Cross multiply
    129.20x = 178.52 × 121.08
  4. Step 4: Simplify right side
    129.20x = 21,615.20
  5. Step 5: Solve for x
    x = 21,615.20/129.20
  6. Step 6: Final answer
    x = 167.30

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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.