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Finding the Fourth Proportional to 112.36, 169.51 and 106.36

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Solution

The fourth proportional to 112.36, 169.51 and 106.36 is: 160.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.36 : 169.51 = 106.36 : x
  2. Step 2: Convert to fraction form
    112.36/169.51 = 106.36/x
  3. Step 3: Cross multiply
    112.36x = 169.51 × 106.36
  4. Step 4: Simplify right side
    112.36x = 18,029.08
  5. Step 5: Solve for x
    x = 18,029.08/112.36
  6. Step 6: Final answer
    x = 160.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.