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Finding the Fourth Proportional to 116.40, 168.69 and 116.40

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Solution

The fourth proportional to 116.40, 168.69 and 116.40 is: 168.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.40 : 168.69 = 116.40 : x
  2. Step 2: Convert to fraction form
    116.40/168.69 = 116.40/x
  3. Step 3: Cross multiply
    116.40x = 168.69 × 116.40
  4. Step 4: Simplify right side
    116.40x = 19,635.52
  5. Step 5: Solve for x
    x = 19,635.52/116.40
  6. Step 6: Final answer
    x = 168.69

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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.