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Finding the Fourth Proportional to 148.90, 205.39 and 112

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Solution

The fourth proportional to 148.90, 205.39 and 112 is: 154.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.90 : 205.39 = 112 : x
  2. Step 2: Convert to fraction form
    148.90/205.39 = 112/x
  3. Step 3: Cross multiply
    148.90x = 205.39 × 112
  4. Step 4: Simplify right side
    148.90x = 23,003.68
  5. Step 5: Solve for x
    x = 23,003.68/148.90
  6. Step 6: Final answer
    x = 154.49

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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.