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Finding the Fourth Proportional to 116.10, 160.29 and 83.46

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Solution

The fourth proportional to 116.10, 160.29 and 83.46 is: 115.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.10 : 160.29 = 83.46 : x
  2. Step 2: Convert to fraction form
    116.10/160.29 = 83.46/x
  3. Step 3: Cross multiply
    116.10x = 160.29 × 83.46
  4. Step 4: Simplify right side
    116.10x = 13,377.80
  5. Step 5: Solve for x
    x = 13,377.80/116.10
  6. Step 6: Final answer
    x = 115.23

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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.