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Finding the Fourth Proportional to 116.38, 160.35 and 83.57

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Solution

The fourth proportional to 116.38, 160.35 and 83.57 is: 115.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.38 : 160.35 = 83.57 : x
  2. Step 2: Convert to fraction form
    116.38/160.35 = 83.57/x
  3. Step 3: Cross multiply
    116.38x = 160.35 × 83.57
  4. Step 4: Simplify right side
    116.38x = 13,400.85
  5. Step 5: Solve for x
    x = 13,400.85/116.38
  6. Step 6: Final answer
    x = 115.15

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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.