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Finding the Fourth Proportional to 116.30, 168.27 and 116.30

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Solution

The fourth proportional to 116.30, 168.27 and 116.30 is: 168.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.30 : 168.27 = 116.30 : x
  2. Step 2: Convert to fraction form
    116.30/168.27 = 116.30/x
  3. Step 3: Cross multiply
    116.30x = 168.27 × 116.30
  4. Step 4: Simplify right side
    116.30x = 19,569.80
  5. Step 5: Solve for x
    x = 19,569.80/116.30
  6. Step 6: Final answer
    x = 168.27

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.