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Finding the Fourth Proportional to 160.12, 239.96 and 78.78

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Solution

The fourth proportional to 160.12, 239.96 and 78.78 is: 118.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.12 : 239.96 = 78.78 : x
  2. Step 2: Convert to fraction form
    160.12/239.96 = 78.78/x
  3. Step 3: Cross multiply
    160.12x = 239.96 × 78.78
  4. Step 4: Simplify right side
    160.12x = 18,904.05
  5. Step 5: Solve for x
    x = 18,904.05/160.12
  6. Step 6: Final answer
    x = 118.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.