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Finding the Fourth Proportional to 106.14, 146.25 and 82.36

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Solution

The fourth proportional to 106.14, 146.25 and 82.36 is: 113.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.14 : 146.25 = 82.36 : x
  2. Step 2: Convert to fraction form
    106.14/146.25 = 82.36/x
  3. Step 3: Cross multiply
    106.14x = 146.25 × 82.36
  4. Step 4: Simplify right side
    106.14x = 12,045.49
  5. Step 5: Solve for x
    x = 12,045.49/106.14
  6. Step 6: Final answer
    x = 113.49

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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.