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Finding the Fourth Proportional to 106.80, 146.40 and 96.96

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Solution

The fourth proportional to 106.80, 146.40 and 96.96 is: 132.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.80 : 146.40 = 96.96 : x
  2. Step 2: Convert to fraction form
    106.80/146.40 = 96.96/x
  3. Step 3: Cross multiply
    106.80x = 146.40 × 96.96
  4. Step 4: Simplify right side
    106.80x = 14,194.94
  5. Step 5: Solve for x
    x = 14,194.94/106.80
  6. Step 6: Final answer
    x = 132.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.