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Finding the Fourth Proportional to 116.80, 163.20 and 116.80

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Solution

The fourth proportional to 116.80, 163.20 and 116.80 is: 163.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.80 : 163.20 = 116.80 : x
  2. Step 2: Convert to fraction form
    116.80/163.20 = 116.80/x
  3. Step 3: Cross multiply
    116.80x = 163.20 × 116.80
  4. Step 4: Simplify right side
    116.80x = 19,061.76
  5. Step 5: Solve for x
    x = 19,061.76/116.80
  6. Step 6: Final answer
    x = 163.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.