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Finding the Fourth Proportional to 129.54, 194.05 and 75.32

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Solution

The fourth proportional to 129.54, 194.05 and 75.32 is: 112.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.54 : 194.05 = 75.32 : x
  2. Step 2: Convert to fraction form
    129.54/194.05 = 75.32/x
  3. Step 3: Cross multiply
    129.54x = 194.05 × 75.32
  4. Step 4: Simplify right side
    129.54x = 14,614.50
  5. Step 5: Solve for x
    x = 14,614.50/129.54
  6. Step 6: Final answer
    x = 112.82

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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.