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Finding the Fourth Proportional to 106.46, 147.07 and 82.21

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Solution

The fourth proportional to 106.46, 147.07 and 82.21 is: 113.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.46 : 147.07 = 82.21 : x
  2. Step 2: Convert to fraction form
    106.46/147.07 = 82.21/x
  3. Step 3: Cross multiply
    106.46x = 147.07 × 82.21
  4. Step 4: Simplify right side
    106.46x = 12,090.40
  5. Step 5: Solve for x
    x = 12,090.40/106.46
  6. Step 6: Final answer
    x = 113.56

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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.