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Finding the Fourth Proportional to 129.63, 194.34 and 52.59

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Solution

The fourth proportional to 129.63, 194.34 and 52.59 is: 78.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.63 : 194.34 = 52.59 : x
  2. Step 2: Convert to fraction form
    129.63/194.34 = 52.59/x
  3. Step 3: Cross multiply
    129.63x = 194.34 × 52.59
  4. Step 4: Simplify right side
    129.63x = 10,220.34
  5. Step 5: Solve for x
    x = 10,220.34/129.63
  6. Step 6: Final answer
    x = 78.84

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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.