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Finding the Fourth Proportional to 113.52, 169.54 and 112.62

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Solution

The fourth proportional to 113.52, 169.54 and 112.62 is: 168.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.52 : 169.54 = 112.62 : x
  2. Step 2: Convert to fraction form
    113.52/169.54 = 112.62/x
  3. Step 3: Cross multiply
    113.52x = 169.54 × 112.62
  4. Step 4: Simplify right side
    113.52x = 19,093.59
  5. Step 5: Solve for x
    x = 19,093.59/113.52
  6. Step 6: Final answer
    x = 168.20

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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.