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Finding the Fourth Proportional to 112, 167.24 and 91.66

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Solution

The fourth proportional to 112, 167.24 and 91.66 is: 136.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    112 : 167.24 = 91.66 : x
  2. Step 2: Convert to fraction form
    112/167.24 = 91.66/x
  3. Step 3: Cross multiply
    112x = 167.24 × 91.66
  4. Step 4: Simplify right side
    112x = 15,329.22
  5. Step 5: Solve for x
    x = 15,329.22/112
  6. Step 6: Final answer
    x = 136.87

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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.