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Finding the Fourth Proportional to 149.27, 205.98 and 87.09

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Solution

The fourth proportional to 149.27, 205.98 and 87.09 is: 120.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.27 : 205.98 = 87.09 : x
  2. Step 2: Convert to fraction form
    149.27/205.98 = 87.09/x
  3. Step 3: Cross multiply
    149.27x = 205.98 × 87.09
  4. Step 4: Simplify right side
    149.27x = 17,938.03
  5. Step 5: Solve for x
    x = 17,938.03/149.27
  6. Step 6: Final answer
    x = 120.17

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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.