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Finding the Fourth Proportional to 149.58, 206.46 and 102.96

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Solution

The fourth proportional to 149.58, 206.46 and 102.96 is: 142.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.58 : 206.46 = 102.96 : x
  2. Step 2: Convert to fraction form
    149.58/206.46 = 102.96/x
  3. Step 3: Cross multiply
    149.58x = 206.46 × 102.96
  4. Step 4: Simplify right side
    149.58x = 21,257.12
  5. Step 5: Solve for x
    x = 21,257.12/149.58
  6. Step 6: Final answer
    x = 142.11

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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.