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Finding the Fourth Proportional to 129.77, 194.72 and 74.93

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Solution

The fourth proportional to 129.77, 194.72 and 74.93 is: 112.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.77 : 194.72 = 74.93 : x
  2. Step 2: Convert to fraction form
    129.77/194.72 = 74.93/x
  3. Step 3: Cross multiply
    129.77x = 194.72 × 74.93
  4. Step 4: Simplify right side
    129.77x = 14,589.44
  5. Step 5: Solve for x
    x = 14,589.44/129.77
  6. Step 6: Final answer
    x = 112.43

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Why These Related Problems?

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