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Finding the Fourth Proportional to 106.68, 146.10 and 105.00

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Solution

The fourth proportional to 106.68, 146.10 and 105.00 is: 143.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.68 : 146.10 = 105.00 : x
  2. Step 2: Convert to fraction form
    106.68/146.10 = 105.00/x
  3. Step 3: Cross multiply
    106.68x = 146.10 × 105.00
  4. Step 4: Simplify right side
    106.68x = 15,340.35
  5. Step 5: Solve for x
    x = 15,340.35/106.68
  6. Step 6: Final answer
    x = 143.79

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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.