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Finding the Fourth Proportional to 149.56, 206.45 and 102.94

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Solution

The fourth proportional to 149.56, 206.45 and 102.94 is: 142.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.56 : 206.45 = 102.94 : x
  2. Step 2: Convert to fraction form
    149.56/206.45 = 102.94/x
  3. Step 3: Cross multiply
    149.56x = 206.45 × 102.94
  4. Step 4: Simplify right side
    149.56x = 21,251.32
  5. Step 5: Solve for x
    x = 21,251.32/149.56
  6. Step 6: Final answer
    x = 142.09

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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.