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Finding the Fourth Proportional to 129.59, 194.57 and 75.52

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Solution

The fourth proportional to 129.59, 194.57 and 75.52 is: 113.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.59 : 194.57 = 75.52 : x
  2. Step 2: Convert to fraction form
    129.59/194.57 = 75.52/x
  3. Step 3: Cross multiply
    129.59x = 194.57 × 75.52
  4. Step 4: Simplify right side
    129.59x = 14,693.63
  5. Step 5: Solve for x
    x = 14,693.63/129.59
  6. Step 6: Final answer
    x = 113.39

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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.