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Finding the Fourth Proportional to 107.03, 147.64 and 82.20

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Solution

The fourth proportional to 107.03, 147.64 and 82.20 is: 113.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.03 : 147.64 = 82.20 : x
  2. Step 2: Convert to fraction form
    107.03/147.64 = 82.20/x
  3. Step 3: Cross multiply
    107.03x = 147.64 × 82.20
  4. Step 4: Simplify right side
    107.03x = 12,135.68
  5. Step 5: Solve for x
    x = 12,135.68/107.03
  6. Step 6: Final answer
    x = 113.39

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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.