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Finding the Fourth Proportional to 129.31, 194.00 and 56.24

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Solution

The fourth proportional to 129.31, 194.00 and 56.24 is: 84.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.31 : 194.00 = 56.24 : x
  2. Step 2: Convert to fraction form
    129.31/194.00 = 56.24/x
  3. Step 3: Cross multiply
    129.31x = 194.00 × 56.24
  4. Step 4: Simplify right side
    129.31x = 10,910.04
  5. Step 5: Solve for x
    x = 10,910.04/129.31
  6. Step 6: Final answer
    x = 84.37

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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.