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Finding the Fourth Proportional to 148.85, 205.32 and 107.49

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Solution

The fourth proportional to 148.85, 205.32 and 107.49 is: 148.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.85 : 205.32 = 107.49 : x
  2. Step 2: Convert to fraction form
    148.85/205.32 = 107.49/x
  3. Step 3: Cross multiply
    148.85x = 205.32 × 107.49
  4. Step 4: Simplify right side
    148.85x = 22,069.85
  5. Step 5: Solve for x
    x = 22,069.85/148.85
  6. Step 6: Final answer
    x = 148.27

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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.