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Finding the Fourth Proportional to 112.10, 167.20 and 106.32

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Solution

The fourth proportional to 112.10, 167.20 and 106.32 is: 158.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.10 : 167.20 = 106.32 : x
  2. Step 2: Convert to fraction form
    112.10/167.20 = 106.32/x
  3. Step 3: Cross multiply
    112.10x = 167.20 × 106.32
  4. Step 4: Simplify right side
    112.10x = 17,776.70
  5. Step 5: Solve for x
    x = 17,776.70/112.10
  6. Step 6: Final answer
    x = 158.58

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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.