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Finding the Fourth Proportional to 149.79, 206.82 and 105.54

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Solution

The fourth proportional to 149.79, 206.82 and 105.54 is: 145.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.79 : 206.82 = 105.54 : x
  2. Step 2: Convert to fraction form
    149.79/206.82 = 105.54/x
  3. Step 3: Cross multiply
    149.79x = 206.82 × 105.54
  4. Step 4: Simplify right side
    149.79x = 21,828.17
  5. Step 5: Solve for x
    x = 21,828.17/149.79
  6. Step 6: Final answer
    x = 145.73

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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.