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Finding the Fourth Proportional to 116.05, 159.90 and 83.24

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Solution

The fourth proportional to 116.05, 159.90 and 83.24 is: 114.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.05 : 159.90 = 83.24 : x
  2. Step 2: Convert to fraction form
    116.05/159.90 = 83.24/x
  3. Step 3: Cross multiply
    116.05x = 159.90 × 83.24
  4. Step 4: Simplify right side
    116.05x = 13,310.70
  5. Step 5: Solve for x
    x = 13,310.70/116.05
  6. Step 6: Final answer
    x = 114.70

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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.