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Finding the Fourth Proportional to 116.46, 160.83 and 97.26

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Solution

The fourth proportional to 116.46, 160.83 and 97.26 is: 134.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.46 : 160.83 = 97.26 : x
  2. Step 2: Convert to fraction form
    116.46/160.83 = 97.26/x
  3. Step 3: Cross multiply
    116.46x = 160.83 × 97.26
  4. Step 4: Simplify right side
    116.46x = 15,642.33
  5. Step 5: Solve for x
    x = 15,642.33/116.46
  6. Step 6: Final answer
    x = 134.32

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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.