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Finding the Fourth Proportional to 129.78, 177.96 and 115.20

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Solution

The fourth proportional to 129.78, 177.96 and 115.20 is: 157.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.78 : 177.96 = 115.20 : x
  2. Step 2: Convert to fraction form
    129.78/177.96 = 115.20/x
  3. Step 3: Cross multiply
    129.78x = 177.96 × 115.20
  4. Step 4: Simplify right side
    129.78x = 20,500.99
  5. Step 5: Solve for x
    x = 20,500.99/129.78
  6. Step 6: Final answer
    x = 157.97

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.