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Finding the Fourth Proportional to 109.31, 163.58 and 83.48

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Solution

The fourth proportional to 109.31, 163.58 and 83.48 is: 124.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.31 : 163.58 = 83.48 : x
  2. Step 2: Convert to fraction form
    109.31/163.58 = 83.48/x
  3. Step 3: Cross multiply
    109.31x = 163.58 × 83.48
  4. Step 4: Simplify right side
    109.31x = 13,654.42
  5. Step 5: Solve for x
    x = 13,654.42/109.31
  6. Step 6: Final answer
    x = 124.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.