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Finding the Fourth Proportional to 112.13, 168.22 and 48.01

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Solution

The fourth proportional to 112.13, 168.22 and 48.01 is: 72.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.13 : 168.22 = 48.01 : x
  2. Step 2: Convert to fraction form
    112.13/168.22 = 48.01/x
  3. Step 3: Cross multiply
    112.13x = 168.22 × 48.01
  4. Step 4: Simplify right side
    112.13x = 8,076.24
  5. Step 5: Solve for x
    x = 8,076.24/112.13
  6. Step 6: Final answer
    x = 72.03

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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.