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Finding the Fourth Proportional to 129.66, 193.31 and 121.92

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Solution

The fourth proportional to 129.66, 193.31 and 121.92 is: 181.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.66 : 193.31 = 121.92 : x
  2. Step 2: Convert to fraction form
    129.66/193.31 = 121.92/x
  3. Step 3: Cross multiply
    129.66x = 193.31 × 121.92
  4. Step 4: Simplify right side
    129.66x = 23,567.75
  5. Step 5: Solve for x
    x = 23,567.75/129.66
  6. Step 6: Final answer
    x = 181.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.