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Finding the Fourth Proportional to 124.14, 185.76 and 109.78

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Solution

The fourth proportional to 124.14, 185.76 and 109.78 is: 164.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.14 : 185.76 = 109.78 : x
  2. Step 2: Convert to fraction form
    124.14/185.76 = 109.78/x
  3. Step 3: Cross multiply
    124.14x = 185.76 × 109.78
  4. Step 4: Simplify right side
    124.14x = 20,392.73
  5. Step 5: Solve for x
    x = 20,392.73/124.14
  6. Step 6: Final answer
    x = 164.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.