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Finding the Fourth Proportional to 149.94, 206.92 and 87.82

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Solution

The fourth proportional to 149.94, 206.92 and 87.82 is: 121.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.94 : 206.92 = 87.82 : x
  2. Step 2: Convert to fraction form
    149.94/206.92 = 87.82/x
  3. Step 3: Cross multiply
    149.94x = 206.92 × 87.82
  4. Step 4: Simplify right side
    149.94x = 18,171.71
  5. Step 5: Solve for x
    x = 18,171.71/149.94
  6. Step 6: Final answer
    x = 121.19

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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.