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Finding the Fourth Proportional to 107.21, 147.82 and 83.63

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Solution

The fourth proportional to 107.21, 147.82 and 83.63 is: 115.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.21 : 147.82 = 83.63 : x
  2. Step 2: Convert to fraction form
    107.21/147.82 = 83.63/x
  3. Step 3: Cross multiply
    107.21x = 147.82 × 83.63
  4. Step 4: Simplify right side
    107.21x = 12,362.35
  5. Step 5: Solve for x
    x = 12,362.35/107.21
  6. Step 6: Final answer
    x = 115.31

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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.