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Finding the Fourth Proportional to 160.06, 239.87 and 77.82

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Solution

The fourth proportional to 160.06, 239.87 and 77.82 is: 116.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.06 : 239.87 = 77.82 : x
  2. Step 2: Convert to fraction form
    160.06/239.87 = 77.82/x
  3. Step 3: Cross multiply
    160.06x = 239.87 × 77.82
  4. Step 4: Simplify right side
    160.06x = 18,666.68
  5. Step 5: Solve for x
    x = 18,666.68/160.06
  6. Step 6: Final answer
    x = 116.62

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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.