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Finding the Fourth Proportional to 116.15, 160.36 and 83.43

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Solution

The fourth proportional to 116.15, 160.36 and 83.43 is: 115.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.15 : 160.36 = 83.43 : x
  2. Step 2: Convert to fraction form
    116.15/160.36 = 83.43/x
  3. Step 3: Cross multiply
    116.15x = 160.36 × 83.43
  4. Step 4: Simplify right side
    116.15x = 13,378.63
  5. Step 5: Solve for x
    x = 13,378.63/116.15
  6. Step 6: Final answer
    x = 115.19

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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.