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Finding the Fourth Proportional to 129.87, 194.70 and 89.37

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Solution

The fourth proportional to 129.87, 194.70 and 89.37 is: 133.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.87 : 194.70 = 89.37 : x
  2. Step 2: Convert to fraction form
    129.87/194.70 = 89.37/x
  3. Step 3: Cross multiply
    129.87x = 194.70 × 89.37
  4. Step 4: Simplify right side
    129.87x = 17,400.34
  5. Step 5: Solve for x
    x = 17,400.34/129.87
  6. Step 6: Final answer
    x = 133.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.