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Finding the Fourth Proportional to 129.80, 193.96 and 93.80

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Solution

The fourth proportional to 129.80, 193.96 and 93.80 is: 140.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.80 : 193.96 = 93.80 : x
  2. Step 2: Convert to fraction form
    129.80/193.96 = 93.80/x
  3. Step 3: Cross multiply
    129.80x = 193.96 × 93.80
  4. Step 4: Simplify right side
    129.80x = 18,193.45
  5. Step 5: Solve for x
    x = 18,193.45/129.80
  6. Step 6: Final answer
    x = 140.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.