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Finding the Fourth Proportional to 148.96, 205.74 and 107.56

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Solution

The fourth proportional to 148.96, 205.74 and 107.56 is: 148.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.96 : 205.74 = 107.56 : x
  2. Step 2: Convert to fraction form
    148.96/205.74 = 107.56/x
  3. Step 3: Cross multiply
    148.96x = 205.74 × 107.56
  4. Step 4: Simplify right side
    148.96x = 22,129.39
  5. Step 5: Solve for x
    x = 22,129.39/148.96
  6. Step 6: Final answer
    x = 148.56

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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.