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Finding the Fourth Proportional to 112.70, 168.36 and 112.16

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Solution

The fourth proportional to 112.70, 168.36 and 112.16 is: 167.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.70 : 168.36 = 112.16 : x
  2. Step 2: Convert to fraction form
    112.70/168.36 = 112.16/x
  3. Step 3: Cross multiply
    112.70x = 168.36 × 112.16
  4. Step 4: Simplify right side
    112.70x = 18,883.26
  5. Step 5: Solve for x
    x = 18,883.26/112.70
  6. Step 6: Final answer
    x = 167.55

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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.