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Finding the Fourth Proportional to 148.74, 205.23 and 83.23

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Solution

The fourth proportional to 148.74, 205.23 and 83.23 is: 114.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.74 : 205.23 = 83.23 : x
  2. Step 2: Convert to fraction form
    148.74/205.23 = 83.23/x
  3. Step 3: Cross multiply
    148.74x = 205.23 × 83.23
  4. Step 4: Simplify right side
    148.74x = 17,081.09
  5. Step 5: Solve for x
    x = 17,081.09/148.74
  6. Step 6: Final answer
    x = 114.84

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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.