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Finding the Fourth Proportional to 106.80, 146.12 and 106.48

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Solution

The fourth proportional to 106.80, 146.12 and 106.48 is: 145.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.80 : 146.12 = 106.48 : x
  2. Step 2: Convert to fraction form
    106.80/146.12 = 106.48/x
  3. Step 3: Cross multiply
    106.80x = 146.12 × 106.48
  4. Step 4: Simplify right side
    106.80x = 15,558.86
  5. Step 5: Solve for x
    x = 15,558.86/106.80
  6. Step 6: Final answer
    x = 145.68

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