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Finding the Fourth Proportional to 112.09, 166.96 and 106.31

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Solution

The fourth proportional to 112.09, 166.96 and 106.31 is: 158.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.09 : 166.96 = 106.31 : x
  2. Step 2: Convert to fraction form
    112.09/166.96 = 106.31/x
  3. Step 3: Cross multiply
    112.09x = 166.96 × 106.31
  4. Step 4: Simplify right side
    112.09x = 17,749.52
  5. Step 5: Solve for x
    x = 17,749.52/112.09
  6. Step 6: Final answer
    x = 158.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.