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Finding the Fourth Proportional to 116.80, 160.92 and 109.84

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Solution

The fourth proportional to 116.80, 160.92 and 109.84 is: 151.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.80 : 160.92 = 109.84 : x
  2. Step 2: Convert to fraction form
    116.80/160.92 = 109.84/x
  3. Step 3: Cross multiply
    116.80x = 160.92 × 109.84
  4. Step 4: Simplify right side
    116.80x = 17,675.45
  5. Step 5: Solve for x
    x = 17,675.45/116.80
  6. Step 6: Final answer
    x = 151.33

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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.