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Finding the Fourth Proportional to 129.61, 194.64 and 123.82

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Solution

The fourth proportional to 129.61, 194.64 and 123.82 is: 185.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.61 : 194.64 = 123.82 : x
  2. Step 2: Convert to fraction form
    129.61/194.64 = 123.82/x
  3. Step 3: Cross multiply
    129.61x = 194.64 × 123.82
  4. Step 4: Simplify right side
    129.61x = 24,100.32
  5. Step 5: Solve for x
    x = 24,100.32/129.61
  6. Step 6: Final answer
    x = 185.94

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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.