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Finding the Fourth Proportional to 112.63, 167.71 and 106.69

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Solution

The fourth proportional to 112.63, 167.71 and 106.69 is: 158.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.63 : 167.71 = 106.69 : x
  2. Step 2: Convert to fraction form
    112.63/167.71 = 106.69/x
  3. Step 3: Cross multiply
    112.63x = 167.71 × 106.69
  4. Step 4: Simplify right side
    112.63x = 17,892.98
  5. Step 5: Solve for x
    x = 17,892.98/112.63
  6. Step 6: Final answer
    x = 158.87

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