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Finding the Fourth Proportional to 107.05, 147.57 and 82.44

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Solution

The fourth proportional to 107.05, 147.57 and 82.44 is: 113.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.05 : 147.57 = 82.44 : x
  2. Step 2: Convert to fraction form
    107.05/147.57 = 82.44/x
  3. Step 3: Cross multiply
    107.05x = 147.57 × 82.44
  4. Step 4: Simplify right side
    107.05x = 12,165.67
  5. Step 5: Solve for x
    x = 12,165.67/107.05
  6. Step 6: Final answer
    x = 113.64

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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.