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Finding the Fourth Proportional to 454.63, 681.97 and 125.61

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Solution

The fourth proportional to 454.63, 681.97 and 125.61 is: 188.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.63 : 681.97 = 125.61 : x
  2. Step 2: Convert to fraction form
    454.63/681.97 = 125.61/x
  3. Step 3: Cross multiply
    454.63x = 681.97 × 125.61
  4. Step 4: Simplify right side
    454.63x = 85,662.25
  5. Step 5: Solve for x
    x = 85,662.25/454.63
  6. Step 6: Final answer
    x = 188.42

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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.