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Finding the Fourth Proportional to 129.37, 194.07 and 57.23

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Solution

The fourth proportional to 129.37, 194.07 and 57.23 is: 85.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.37 : 194.07 = 57.23 : x
  2. Step 2: Convert to fraction form
    129.37/194.07 = 57.23/x
  3. Step 3: Cross multiply
    129.37x = 194.07 × 57.23
  4. Step 4: Simplify right side
    129.37x = 11,106.63
  5. Step 5: Solve for x
    x = 11,106.63/129.37
  6. Step 6: Final answer
    x = 85.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.