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Finding the Fourth Proportional to 148.43, 204.81 and 82.93

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Solution

The fourth proportional to 148.43, 204.81 and 82.93 is: 114.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.43 : 204.81 = 82.93 : x
  2. Step 2: Convert to fraction form
    148.43/204.81 = 82.93/x
  3. Step 3: Cross multiply
    148.43x = 204.81 × 82.93
  4. Step 4: Simplify right side
    148.43x = 16,984.89
  5. Step 5: Solve for x
    x = 16,984.89/148.43
  6. Step 6: Final answer
    x = 114.43

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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.