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Finding the Fourth Proportional to 148.92, 205.38 and 107.42

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Solution

The fourth proportional to 148.92, 205.38 and 107.42 is: 148.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.92 : 205.38 = 107.42 : x
  2. Step 2: Convert to fraction form
    148.92/205.38 = 107.42/x
  3. Step 3: Cross multiply
    148.92x = 205.38 × 107.42
  4. Step 4: Simplify right side
    148.92x = 22,060.89
  5. Step 5: Solve for x
    x = 22,060.89/148.92
  6. Step 6: Final answer
    x = 148.14

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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.