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Finding the Fourth Proportional to 160.10, 239.83 and 78.99

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Solution

The fourth proportional to 160.10, 239.83 and 78.99 is: 118.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.10 : 239.83 = 78.99 : x
  2. Step 2: Convert to fraction form
    160.10/239.83 = 78.99/x
  3. Step 3: Cross multiply
    160.10x = 239.83 × 78.99
  4. Step 4: Simplify right side
    160.10x = 18,944.17
  5. Step 5: Solve for x
    x = 18,944.17/160.10
  6. Step 6: Final answer
    x = 118.33

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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.