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Finding the Fourth Proportional to 106.63, 147.28 and 82.19

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Solution

The fourth proportional to 106.63, 147.28 and 82.19 is: 113.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.63 : 147.28 = 82.19 : x
  2. Step 2: Convert to fraction form
    106.63/147.28 = 82.19/x
  3. Step 3: Cross multiply
    106.63x = 147.28 × 82.19
  4. Step 4: Simplify right side
    106.63x = 12,104.94
  5. Step 5: Solve for x
    x = 12,104.94/106.63
  6. Step 6: Final answer
    x = 113.52

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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.