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Finding the Fourth Proportional to 129.93, 194.96 and 65.80

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Solution

The fourth proportional to 129.93, 194.96 and 65.80 is: 98.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.93 : 194.96 = 65.80 : x
  2. Step 2: Convert to fraction form
    129.93/194.96 = 65.80/x
  3. Step 3: Cross multiply
    129.93x = 194.96 × 65.80
  4. Step 4: Simplify right side
    129.93x = 12,828.37
  5. Step 5: Solve for x
    x = 12,828.37/129.93
  6. Step 6: Final answer
    x = 98.73

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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.