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Finding the Fourth Proportional to 124.08, 171.26 and 77.43

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Solution

The fourth proportional to 124.08, 171.26 and 77.43 is: 106.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.08 : 171.26 = 77.43 : x
  2. Step 2: Convert to fraction form
    124.08/171.26 = 77.43/x
  3. Step 3: Cross multiply
    124.08x = 171.26 × 77.43
  4. Step 4: Simplify right side
    124.08x = 13,260.66
  5. Step 5: Solve for x
    x = 13,260.66/124.08
  6. Step 6: Final answer
    x = 106.87

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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.