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Finding the Fourth Proportional to 129.42, 193.19 and 107.46

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Solution

The fourth proportional to 129.42, 193.19 and 107.46 is: 160.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.42 : 193.19 = 107.46 : x
  2. Step 2: Convert to fraction form
    129.42/193.19 = 107.46/x
  3. Step 3: Cross multiply
    129.42x = 193.19 × 107.46
  4. Step 4: Simplify right side
    129.42x = 20,759.66
  5. Step 5: Solve for x
    x = 20,759.66/129.42
  6. Step 6: Final answer
    x = 160.41

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