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Finding the Fourth Proportional to 116.87, 160.92 and 105.89

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Solution

The fourth proportional to 116.87, 160.92 and 105.89 is: 145.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.87 : 160.92 = 105.89 : x
  2. Step 2: Convert to fraction form
    116.87/160.92 = 105.89/x
  3. Step 3: Cross multiply
    116.87x = 160.92 × 105.89
  4. Step 4: Simplify right side
    116.87x = 17,039.01
  5. Step 5: Solve for x
    x = 17,039.01/116.87
  6. Step 6: Final answer
    x = 145.80

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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.