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Finding the Fourth Proportional to 129.24, 193.79 and 47.99

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Solution

The fourth proportional to 129.24, 193.79 and 47.99 is: 71.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.24 : 193.79 = 47.99 : x
  2. Step 2: Convert to fraction form
    129.24/193.79 = 47.99/x
  3. Step 3: Cross multiply
    129.24x = 193.79 × 47.99
  4. Step 4: Simplify right side
    129.24x = 9,299.86
  5. Step 5: Solve for x
    x = 9,299.86/129.24
  6. Step 6: Final answer
    x = 71.96

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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.