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Finding the Fourth Proportional to 112, 168 and 53.47

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Solution

The fourth proportional to 112, 168 and 53.47 is: 80.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    112 : 168 = 53.47 : x
  2. Step 2: Convert to fraction form
    112/168 = 53.47/x
  3. Step 3: Cross multiply
    112x = 168 × 53.47
  4. Step 4: Simplify right side
    112x = 8,982.96
  5. Step 5: Solve for x
    x = 8,982.96/112
  6. Step 6: Final answer
    x = 80.21

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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.