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Finding the Fourth Proportional to 113.22, 168.63 and 112.02

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Solution

The fourth proportional to 113.22, 168.63 and 112.02 is: 166.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.22 : 168.63 = 112.02 : x
  2. Step 2: Convert to fraction form
    113.22/168.63 = 112.02/x
  3. Step 3: Cross multiply
    113.22x = 168.63 × 112.02
  4. Step 4: Simplify right side
    113.22x = 18,889.93
  5. Step 5: Solve for x
    x = 18,889.93/113.22
  6. Step 6: Final answer
    x = 166.84

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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.