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Finding the Fourth Proportional to 148.80, 205.34 and 83.31

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Solution

The fourth proportional to 148.80, 205.34 and 83.31 is: 114.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.80 : 205.34 = 83.31 : x
  2. Step 2: Convert to fraction form
    148.80/205.34 = 83.31/x
  3. Step 3: Cross multiply
    148.80x = 205.34 × 83.31
  4. Step 4: Simplify right side
    148.80x = 17,106.88
  5. Step 5: Solve for x
    x = 17,106.88/148.80
  6. Step 6: Final answer
    x = 114.97

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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.