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Finding the Fourth Proportional to 160.70, 240.84 and 105.82

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Solution

The fourth proportional to 160.70, 240.84 and 105.82 is: 158.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.70 : 240.84 = 105.82 : x
  2. Step 2: Convert to fraction form
    160.70/240.84 = 105.82/x
  3. Step 3: Cross multiply
    160.70x = 240.84 × 105.82
  4. Step 4: Simplify right side
    160.70x = 25,485.09
  5. Step 5: Solve for x
    x = 25,485.09/160.70
  6. Step 6: Final answer
    x = 158.59

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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.