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Finding the Fourth Proportional to 124.10, 171.22 and 77.46

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Solution

The fourth proportional to 124.10, 171.22 and 77.46 is: 106.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.10 : 171.22 = 77.46 : x
  2. Step 2: Convert to fraction form
    124.10/171.22 = 77.46/x
  3. Step 3: Cross multiply
    124.10x = 171.22 × 77.46
  4. Step 4: Simplify right side
    124.10x = 13,262.70
  5. Step 5: Solve for x
    x = 13,262.70/124.10
  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.