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Finding the Fourth Proportional to 148.43, 205.13 and 122.16

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Solution

The fourth proportional to 148.43, 205.13 and 122.16 is: 168.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.43 : 205.13 = 122.16 : x
  2. Step 2: Convert to fraction form
    148.43/205.13 = 122.16/x
  3. Step 3: Cross multiply
    148.43x = 205.13 × 122.16
  4. Step 4: Simplify right side
    148.43x = 25,058.07
  5. Step 5: Solve for x
    x = 25,058.07/148.43
  6. Step 6: Final answer
    x = 168.83

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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.