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Finding the Fourth Proportional to 116.82, 175.41 and 106.02

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Solution

The fourth proportional to 116.82, 175.41 and 106.02 is: 159.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.82 : 175.41 = 106.02 : x
  2. Step 2: Convert to fraction form
    116.82/175.41 = 106.02/x
  3. Step 3: Cross multiply
    116.82x = 175.41 × 106.02
  4. Step 4: Simplify right side
    116.82x = 18,596.97
  5. Step 5: Solve for x
    x = 18,596.97/116.82
  6. Step 6: Final answer
    x = 159.19

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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.