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Finding the Fourth Proportional to 112.14, 167.78 and 77.96

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Solution

The fourth proportional to 112.14, 167.78 and 77.96 is: 116.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.14 : 167.78 = 77.96 : x
  2. Step 2: Convert to fraction form
    112.14/167.78 = 77.96/x
  3. Step 3: Cross multiply
    112.14x = 167.78 × 77.96
  4. Step 4: Simplify right side
    112.14x = 13,079.74
  5. Step 5: Solve for x
    x = 13,079.74/112.14
  6. Step 6: Final answer
    x = 116.64

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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.