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Finding the Fourth Proportional to 123, 169.71 and 73.86

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Solution

The fourth proportional to 123, 169.71 and 73.86 is: 101.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    123 : 169.71 = 73.86 : x
  2. Step 2: Convert to fraction form
    123/169.71 = 73.86/x
  3. Step 3: Cross multiply
    123x = 169.71 × 73.86
  4. Step 4: Simplify right side
    123x = 12,534.78
  5. Step 5: Solve for x
    x = 12,534.78/123
  6. Step 6: Final answer
    x = 101.91

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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.