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Finding the Fourth Proportional to 129.44, 194.06 and 52.34

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Solution

The fourth proportional to 129.44, 194.06 and 52.34 is: 78.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.44 : 194.06 = 52.34 : x
  2. Step 2: Convert to fraction form
    129.44/194.06 = 52.34/x
  3. Step 3: Cross multiply
    129.44x = 194.06 × 52.34
  4. Step 4: Simplify right side
    129.44x = 10,157.10
  5. Step 5: Solve for x
    x = 10,157.10/129.44
  6. Step 6: Final answer
    x = 78.47

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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.