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Finding the Fourth Proportional to 149.69, 206.20 and 125.12

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Solution

The fourth proportional to 149.69, 206.20 and 125.12 is: 172.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.69 : 206.20 = 125.12 : x
  2. Step 2: Convert to fraction form
    149.69/206.20 = 125.12/x
  3. Step 3: Cross multiply
    149.69x = 206.20 × 125.12
  4. Step 4: Simplify right side
    149.69x = 25,799.74
  5. Step 5: Solve for x
    x = 25,799.74/149.69
  6. Step 6: Final answer
    x = 172.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.