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Finding the Fourth Proportional to 107.11, 147.49 and 106.75

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Solution

The fourth proportional to 107.11, 147.49 and 106.75 is: 146.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.11 : 147.49 = 106.75 : x
  2. Step 2: Convert to fraction form
    107.11/147.49 = 106.75/x
  3. Step 3: Cross multiply
    107.11x = 147.49 × 106.75
  4. Step 4: Simplify right side
    107.11x = 15,744.56
  5. Step 5: Solve for x
    x = 15,744.56/107.11
  6. Step 6: Final answer
    x = 146.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.