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Finding the Fourth Proportional to 148.67, 205.24 and 102.06

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Solution

The fourth proportional to 148.67, 205.24 and 102.06 is: 140.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.67 : 205.24 = 102.06 : x
  2. Step 2: Convert to fraction form
    148.67/205.24 = 102.06/x
  3. Step 3: Cross multiply
    148.67x = 205.24 × 102.06
  4. Step 4: Simplify right side
    148.67x = 20,947.56
  5. Step 5: Solve for x
    x = 20,947.56/148.67
  6. Step 6: Final answer
    x = 140.90

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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.