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Finding the Fourth Proportional to 116.16, 159.20 and 113.82

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Solution

The fourth proportional to 116.16, 159.20 and 113.82 is: 155.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.16 : 159.20 = 113.82 : x
  2. Step 2: Convert to fraction form
    116.16/159.20 = 113.82/x
  3. Step 3: Cross multiply
    116.16x = 159.20 × 113.82
  4. Step 4: Simplify right side
    116.16x = 18,119.57
  5. Step 5: Solve for x
    x = 18,119.57/116.16
  6. Step 6: Final answer
    x = 155.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.