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Finding the Fourth Proportional to 112.86, 169.07 and 51.84

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Solution

The fourth proportional to 112.86, 169.07 and 51.84 is: 77.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.86 : 169.07 = 51.84 : x
  2. Step 2: Convert to fraction form
    112.86/169.07 = 51.84/x
  3. Step 3: Cross multiply
    112.86x = 169.07 × 51.84
  4. Step 4: Simplify right side
    112.86x = 8,764.33
  5. Step 5: Solve for x
    x = 8,764.33/112.86
  6. Step 6: Final answer
    x = 77.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.