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Finding the Fourth Proportional to 112.46, 167.56 and 106.25

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Solution

The fourth proportional to 112.46, 167.56 and 106.25 is: 158.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.46 : 167.56 = 106.25 : x
  2. Step 2: Convert to fraction form
    112.46/167.56 = 106.25/x
  3. Step 3: Cross multiply
    112.46x = 167.56 × 106.25
  4. Step 4: Simplify right side
    112.46x = 17,803.25
  5. Step 5: Solve for x
    x = 17,803.25/112.46
  6. Step 6: Final answer
    x = 158.31

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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.