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Finding the Fourth Proportional to 149.28, 206 and 87.11

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Solution

The fourth proportional to 149.28, 206 and 87.11 is: 120.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.28 : 206 = 87.11 : x
  2. Step 2: Convert to fraction form
    149.28/206 = 87.11/x
  3. Step 3: Cross multiply
    149.28x = 206 × 87.11
  4. Step 4: Simplify right side
    149.28x = 17,944.66
  5. Step 5: Solve for x
    x = 17,944.66/149.28
  6. Step 6: Final answer
    x = 120.21

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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.