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Finding the Fourth Proportional to 112.04, 166.95 and 111.09

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Solution

The fourth proportional to 112.04, 166.95 and 111.09 is: 165.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.04 : 166.95 = 111.09 : x
  2. Step 2: Convert to fraction form
    112.04/166.95 = 111.09/x
  3. Step 3: Cross multiply
    112.04x = 166.95 × 111.09
  4. Step 4: Simplify right side
    112.04x = 18,546.89
  5. Step 5: Solve for x
    x = 18,546.89/112.04
  6. Step 6: Final answer
    x = 165.55

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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.