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Finding the Fourth Proportional to 116.14, 160.09 and 83.34

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Solution

The fourth proportional to 116.14, 160.09 and 83.34 is: 114.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.14 : 160.09 = 83.34 : x
  2. Step 2: Convert to fraction form
    116.14/160.09 = 83.34/x
  3. Step 3: Cross multiply
    116.14x = 160.09 × 83.34
  4. Step 4: Simplify right side
    116.14x = 13,341.10
  5. Step 5: Solve for x
    x = 13,341.10/116.14
  6. Step 6: Final answer
    x = 114.87

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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.