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Finding the Fourth Proportional to 124.05, 171.09 and 77.44

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Solution

The fourth proportional to 124.05, 171.09 and 77.44 is: 106.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.05 : 171.09 = 77.44 : x
  2. Step 2: Convert to fraction form
    124.05/171.09 = 77.44/x
  3. Step 3: Cross multiply
    124.05x = 171.09 × 77.44
  4. Step 4: Simplify right side
    124.05x = 13,249.21
  5. Step 5: Solve for x
    x = 13,249.21/124.05
  6. Step 6: Final answer
    x = 106.81

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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.