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Finding the Fourth Proportional to 116.30, 160.31 and 83.49

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Solution

The fourth proportional to 116.30, 160.31 and 83.49 is: 115.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.30 : 160.31 = 83.49 : x
  2. Step 2: Convert to fraction form
    116.30/160.31 = 83.49/x
  3. Step 3: Cross multiply
    116.30x = 160.31 × 83.49
  4. Step 4: Simplify right side
    116.30x = 13,384.49
  5. Step 5: Solve for x
    x = 13,384.49/116.30
  6. Step 6: Final answer
    x = 115.09

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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.