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Finding the Fourth Proportional to 129.67, 193.35 and 115.99

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Solution

The fourth proportional to 129.67, 193.35 and 115.99 is: 172.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.67 : 193.35 = 115.99 : x
  2. Step 2: Convert to fraction form
    129.67/193.35 = 115.99/x
  3. Step 3: Cross multiply
    129.67x = 193.35 × 115.99
  4. Step 4: Simplify right side
    129.67x = 22,426.67
  5. Step 5: Solve for x
    x = 22,426.67/129.67
  6. Step 6: Final answer
    x = 172.95

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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.