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Finding the Fourth Proportional to 116.31, 160.45 and 83.20

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Solution

The fourth proportional to 116.31, 160.45 and 83.20 is: 114.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.31 : 160.45 = 83.20 : x
  2. Step 2: Convert to fraction form
    116.31/160.45 = 83.20/x
  3. Step 3: Cross multiply
    116.31x = 160.45 × 83.20
  4. Step 4: Simplify right side
    116.31x = 13,349.44
  5. Step 5: Solve for x
    x = 13,349.44/116.31
  6. Step 6: Final answer
    x = 114.77

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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.