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Finding the Fourth Proportional to 112.75, 169.14 and 48.64

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Solution

The fourth proportional to 112.75, 169.14 and 48.64 is: 72.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.75 : 169.14 = 48.64 : x
  2. Step 2: Convert to fraction form
    112.75/169.14 = 48.64/x
  3. Step 3: Cross multiply
    112.75x = 169.14 × 48.64
  4. Step 4: Simplify right side
    112.75x = 8,226.97
  5. Step 5: Solve for x
    x = 8,226.97/112.75
  6. Step 6: Final answer
    x = 72.97

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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.