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Finding the Fourth Proportional to 149.32, 205.97 and 102.61

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Solution

The fourth proportional to 149.32, 205.97 and 102.61 is: 141.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.32 : 205.97 = 102.61 : x
  2. Step 2: Convert to fraction form
    149.32/205.97 = 102.61/x
  3. Step 3: Cross multiply
    149.32x = 205.97 × 102.61
  4. Step 4: Simplify right side
    149.32x = 21,134.58
  5. Step 5: Solve for x
    x = 21,134.58/149.32
  6. Step 6: Final answer
    x = 141.54

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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.