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Finding the Fourth Proportional to 112.12, 168.04 and 47.09

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Solution

The fourth proportional to 112.12, 168.04 and 47.09 is: 70.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.12 : 168.04 = 47.09 : x
  2. Step 2: Convert to fraction form
    112.12/168.04 = 47.09/x
  3. Step 3: Cross multiply
    112.12x = 168.04 × 47.09
  4. Step 4: Simplify right side
    112.12x = 7,913.31
  5. Step 5: Solve for x
    x = 7,913.31/112.12
  6. Step 6: Final answer
    x = 70.58

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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.