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Finding the Fourth Proportional to 104.91, 157.23 and 83.22

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Solution

The fourth proportional to 104.91, 157.23 and 83.22 is: 124.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.91 : 157.23 = 83.22 : x
  2. Step 2: Convert to fraction form
    104.91/157.23 = 83.22/x
  3. Step 3: Cross multiply
    104.91x = 157.23 × 83.22
  4. Step 4: Simplify right side
    104.91x = 13,084.68
  5. Step 5: Solve for x
    x = 13,084.68/104.91
  6. Step 6: Final answer
    x = 124.72

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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.