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Finding the Fourth Proportional to 124.20, 171.78 and 109.80

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Solution

The fourth proportional to 124.20, 171.78 and 109.80 is: 151.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.20 : 171.78 = 109.80 : x
  2. Step 2: Convert to fraction form
    124.20/171.78 = 109.80/x
  3. Step 3: Cross multiply
    124.20x = 171.78 × 109.80
  4. Step 4: Simplify right side
    124.20x = 18,861.44
  5. Step 5: Solve for x
    x = 18,861.44/124.20
  6. Step 6: Final answer
    x = 151.86

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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.