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Finding the Fourth Proportional to 112.91, 169.28 and 44.48

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Solution

The fourth proportional to 112.91, 169.28 and 44.48 is: 66.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.91 : 169.28 = 44.48 : x
  2. Step 2: Convert to fraction form
    112.91/169.28 = 44.48/x
  3. Step 3: Cross multiply
    112.91x = 169.28 × 44.48
  4. Step 4: Simplify right side
    112.91x = 7,528.51
  5. Step 5: Solve for x
    x = 7,528.51/112.91
  6. Step 6: Final answer
    x = 66.68

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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.