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Finding the Fourth Proportional to 112.70, 168.91 and 40.55

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Solution

The fourth proportional to 112.70, 168.91 and 40.55 is: 60.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.70 : 168.91 = 40.55 : x
  2. Step 2: Convert to fraction form
    112.70/168.91 = 40.55/x
  3. Step 3: Cross multiply
    112.70x = 168.91 × 40.55
  4. Step 4: Simplify right side
    112.70x = 6,848.35
  5. Step 5: Solve for x
    x = 6,848.35/112.70
  6. Step 6: Final answer
    x = 60.76

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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.