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Finding the Fourth Proportional to 116.04, 159.07 and 113.97

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Solution

The fourth proportional to 116.04, 159.07 and 113.97 is: 156.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.04 : 159.07 = 113.97 : x
  2. Step 2: Convert to fraction form
    116.04/159.07 = 113.97/x
  3. Step 3: Cross multiply
    116.04x = 159.07 × 113.97
  4. Step 4: Simplify right side
    116.04x = 18,129.21
  5. Step 5: Solve for x
    x = 18,129.21/116.04
  6. Step 6: Final answer
    x = 156.23

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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.