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Finding the Fourth Proportional to 123.93, 171.11 and 77.37

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Solution

The fourth proportional to 123.93, 171.11 and 77.37 is: 106.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.93 : 171.11 = 77.37 : x
  2. Step 2: Convert to fraction form
    123.93/171.11 = 77.37/x
  3. Step 3: Cross multiply
    123.93x = 171.11 × 77.37
  4. Step 4: Simplify right side
    123.93x = 13,238.39
  5. Step 5: Solve for x
    x = 13,238.39/123.93
  6. Step 6: Final answer
    x = 106.82

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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.