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Finding the Fourth Proportional to 129.84, 178.92 and 121.08

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Solution

The fourth proportional to 129.84, 178.92 and 121.08 is: 166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.84 : 178.92 = 121.08 : x
  2. Step 2: Convert to fraction form
    129.84/178.92 = 121.08/x
  3. Step 3: Cross multiply
    129.84x = 178.92 × 121.08
  4. Step 4: Simplify right side
    129.84x = 21,663.63
  5. Step 5: Solve for x
    x = 21,663.63/129.84
  6. Step 6: Final answer
    x = 166.85

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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.