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Finding the Fourth Proportional to 422.15, 633.17 and 114.03

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Solution

The fourth proportional to 422.15, 633.17 and 114.03 is: 171.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.15 : 633.17 = 114.03 : x
  2. Step 2: Convert to fraction form
    422.15/633.17 = 114.03/x
  3. Step 3: Cross multiply
    422.15x = 633.17 × 114.03
  4. Step 4: Simplify right side
    422.15x = 72,200.66
  5. Step 5: Solve for x
    x = 72,200.66/422.15
  6. Step 6: Final answer
    x = 171.03

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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.