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Finding the Fourth Proportional to 160.20, 239.86 and 123.96

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Solution

The fourth proportional to 160.20, 239.86 and 123.96 is: 185.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.20 : 239.86 = 123.96 : x
  2. Step 2: Convert to fraction form
    160.20/239.86 = 123.96/x
  3. Step 3: Cross multiply
    160.20x = 239.86 × 123.96
  4. Step 4: Simplify right side
    160.20x = 29,733.05
  5. Step 5: Solve for x
    x = 29,733.05/160.20
  6. Step 6: Final answer
    x = 185.60

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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.