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Finding the Fourth Proportional to 149.43, 206.25 and 91.26

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Solution

The fourth proportional to 149.43, 206.25 and 91.26 is: 125.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.43 : 206.25 = 91.26 : x
  2. Step 2: Convert to fraction form
    149.43/206.25 = 91.26/x
  3. Step 3: Cross multiply
    149.43x = 206.25 × 91.26
  4. Step 4: Simplify right side
    149.43x = 18,822.38
  5. Step 5: Solve for x
    x = 18,822.38/149.43
  6. Step 6: Final answer
    x = 125.96

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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.