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Finding the Fourth Proportional to 124.06, 185.11 and 112.45

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Solution

The fourth proportional to 124.06, 185.11 and 112.45 is: 167.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.06 : 185.11 = 112.45 : x
  2. Step 2: Convert to fraction form
    124.06/185.11 = 112.45/x
  3. Step 3: Cross multiply
    124.06x = 185.11 × 112.45
  4. Step 4: Simplify right side
    124.06x = 20,815.62
  5. Step 5: Solve for x
    x = 20,815.62/124.06
  6. Step 6: Final answer
    x = 167.79

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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.