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Finding the Fourth Proportional to 106.10, 146.31 and 75

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Solution

The fourth proportional to 106.10, 146.31 and 75 is: 103.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.10 : 146.31 = 75 : x
  2. Step 2: Convert to fraction form
    106.10/146.31 = 75/x
  3. Step 3: Cross multiply
    106.10x = 146.31 × 75
  4. Step 4: Simplify right side
    106.10x = 10,973.25
  5. Step 5: Solve for x
    x = 10,973.25/106.10
  6. Step 6: Final answer
    x = 103.43

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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.