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Finding the Fourth Proportional to 116.33, 160.56 and 83.67

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Solution

The fourth proportional to 116.33, 160.56 and 83.67 is: 115.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.33 : 160.56 = 83.67 : x
  2. Step 2: Convert to fraction form
    116.33/160.56 = 83.67/x
  3. Step 3: Cross multiply
    116.33x = 160.56 × 83.67
  4. Step 4: Simplify right side
    116.33x = 13,434.06
  5. Step 5: Solve for x
    x = 13,434.06/116.33
  6. Step 6: Final answer
    x = 115.49

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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.