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Finding the Fourth Proportional to 149.49, 206.33 and 91.26

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Solution

The fourth proportional to 149.49, 206.33 and 91.26 is: 125.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.49 : 206.33 = 91.26 : x
  2. Step 2: Convert to fraction form
    149.49/206.33 = 91.26/x
  3. Step 3: Cross multiply
    149.49x = 206.33 × 91.26
  4. Step 4: Simplify right side
    149.49x = 18,829.22
  5. Step 5: Solve for x
    x = 18,829.22/149.49
  6. Step 6: Final answer
    x = 125.96

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