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Finding the Fourth Proportional to 124.61, 185.90 and 119.43

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Solution

The fourth proportional to 124.61, 185.90 and 119.43 is: 178.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.61 : 185.90 = 119.43 : x
  2. Step 2: Convert to fraction form
    124.61/185.90 = 119.43/x
  3. Step 3: Cross multiply
    124.61x = 185.90 × 119.43
  4. Step 4: Simplify right side
    124.61x = 22,201.57
  5. Step 5: Solve for x
    x = 22,201.57/124.61
  6. Step 6: Final answer
    x = 178.16

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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.