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Finding the Fourth Proportional to 112.88, 169.26 and 35.83

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Solution

The fourth proportional to 112.88, 169.26 and 35.83 is: 53.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.88 : 169.26 = 35.83 : x
  2. Step 2: Convert to fraction form
    112.88/169.26 = 35.83/x
  3. Step 3: Cross multiply
    112.88x = 169.26 × 35.83
  4. Step 4: Simplify right side
    112.88x = 6,063.83
  5. Step 5: Solve for x
    x = 6,063.83/112.88
  6. Step 6: Final answer
    x = 53.72

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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.