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Finding the Fourth Proportional to 129.65, 193.89 and 127.83

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Solution

The fourth proportional to 129.65, 193.89 and 127.83 is: 191.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.65 : 193.89 = 127.83 : x
  2. Step 2: Convert to fraction form
    129.65/193.89 = 127.83/x
  3. Step 3: Cross multiply
    129.65x = 193.89 × 127.83
  4. Step 4: Simplify right side
    129.65x = 24,784.96
  5. Step 5: Solve for x
    x = 24,784.96/129.65
  6. Step 6: Final answer
    x = 191.17

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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.