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Finding the Fourth Proportional to 129.86, 195.01 and 124.09

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Solution

The fourth proportional to 129.86, 195.01 and 124.09 is: 186.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.86 : 195.01 = 124.09 : x
  2. Step 2: Convert to fraction form
    129.86/195.01 = 124.09/x
  3. Step 3: Cross multiply
    129.86x = 195.01 × 124.09
  4. Step 4: Simplify right side
    129.86x = 24,198.79
  5. Step 5: Solve for x
    x = 24,198.79/129.86
  6. Step 6: Final answer
    x = 186.35

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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.