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Finding the Fourth Proportional to 107.02, 147.77 and 82.42

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Solution

The fourth proportional to 107.02, 147.77 and 82.42 is: 113.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.02 : 147.77 = 82.42 : x
  2. Step 2: Convert to fraction form
    107.02/147.77 = 82.42/x
  3. Step 3: Cross multiply
    107.02x = 147.77 × 82.42
  4. Step 4: Simplify right side
    107.02x = 12,179.20
  5. Step 5: Solve for x
    x = 12,179.20/107.02
  6. Step 6: Final answer
    x = 113.80

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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.