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Finding the Fourth Proportional to 116.20, 160.30 and 79.44

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Solution

The fourth proportional to 116.20, 160.30 and 79.44 is: 109.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.20 : 160.30 = 79.44 : x
  2. Step 2: Convert to fraction form
    116.20/160.30 = 79.44/x
  3. Step 3: Cross multiply
    116.20x = 160.30 × 79.44
  4. Step 4: Simplify right side
    116.20x = 12,734.23
  5. Step 5: Solve for x
    x = 12,734.23/116.20
  6. Step 6: Final answer
    x = 109.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.