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Finding the Fourth Proportional to 124.07, 185.97 and 54.60

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Solution

The fourth proportional to 124.07, 185.97 and 54.60 is: 81.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.07 : 185.97 = 54.60 : x
  2. Step 2: Convert to fraction form
    124.07/185.97 = 54.60/x
  3. Step 3: Cross multiply
    124.07x = 185.97 × 54.60
  4. Step 4: Simplify right side
    124.07x = 10,153.33
  5. Step 5: Solve for x
    x = 10,153.33/124.07
  6. Step 6: Final answer
    x = 81.84

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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.